Theory of groups and symmetries: finite groups, Lie groups, and Lie algebras
"The book presents the main approaches in study of algebraic structures of symmetries in models of theoretical and mathematical physics, namely groups and Lie algebras and their deformations. It covers the commonly encountered quantum groups (including Yangians). The second main goal of the boo...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New Jersey
World Scientific
[2018]
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Zusammenfassung: | "The book presents the main approaches in study of algebraic structures of symmetries in models of theoretical and mathematical physics, namely groups and Lie algebras and their deformations. It covers the commonly encountered quantum groups (including Yangians). The second main goal of the book is to present a differential geometry of coset spaces that is actively used in investigations of models of quantum field theory, gravity and statistical physics. The third goal is to explain the main ideas about the theory of conformal symmetries, which is the basis of the AdS/CFT correspondence. The theory of groups and symmetries is an important part of theoretical physics. In elementary particle physics, cosmology and related fields, the key role is played by Lie groups and algebras corresponding to continuous symmetries. For example, relativistic physics is based on the Lorentz and Poincare groups, and the modern theory of elementary particles ... the Standard Model ... is based on gauge (local) symmetry with the gauge group SU(3) x SU(2) x U(1). This book presents constructions and results of a general nature, along with numerous concrete examples that have direct applications in modern theoretical and mathematical physics"... |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | xv, 458 pages Diagramme |
| ISBN: | 9789813236851 981323685X |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV044942306 | ||
| 003 | DE-604 | ||
| 005 | 20190403 | ||
| 007 | t | ||
| 008 | 180514s2018 si |||| |||| 00||| eng d | ||
| 010 | |a 018001918 | ||
| 020 | |a 9789813236851 |9 978-981-3236-85-1 | ||
| 020 | |a 981323685X |9 981-3236-85-X | ||
| 035 | |a (OCoLC)1031446404 | ||
| 035 | |a (DE-599)BVBBV044942306 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 044 | |a si |c SG | ||
| 049 | |a DE-29T |a DE-703 |a DE-19 | ||
| 050 | 0 | |a QC20.7.G76 | |
| 082 | 0 | |a 512/.2 |2 23 | |
| 084 | |a SK 340 |0 (DE-625)143232: |2 rvk | ||
| 100 | 1 | |a Isaev, Alexey P. |d 1957- |e Verfasser |0 (DE-588)1165801876 |4 aut | |
| 245 | 1 | 0 | |a Theory of groups and symmetries |b finite groups, Lie groups, and Lie algebras |c Alexey P Isaev, Valery A Rubakov |
| 264 | 1 | |a New Jersey |b World Scientific |c [2018] | |
| 264 | 4 | |c © 2018 | |
| 300 | |a xv, 458 pages |b Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes bibliographical references and index | ||
| 520 | |a "The book presents the main approaches in study of algebraic structures of symmetries in models of theoretical and mathematical physics, namely groups and Lie algebras and their deformations. It covers the commonly encountered quantum groups (including Yangians). The second main goal of the book is to present a differential geometry of coset spaces that is actively used in investigations of models of quantum field theory, gravity and statistical physics. The third goal is to explain the main ideas about the theory of conformal symmetries, which is the basis of the AdS/CFT correspondence. The theory of groups and symmetries is an important part of theoretical physics. In elementary particle physics, cosmology and related fields, the key role is played by Lie groups and algebras corresponding to continuous symmetries. For example, relativistic physics is based on the Lorentz and Poincare groups, and the modern theory of elementary particles ... the Standard Model ... is based on gauge (local) symmetry with the gauge group SU(3) x SU(2) x U(1). This book presents constructions and results of a general nature, along with numerous concrete examples that have direct applications in modern theoretical and mathematical physics"... | ||
| 650 | 4 | |a Group theory | |
| 650 | 4 | |a Group algebras | |
| 650 | 4 | |a Finite groups | |
| 650 | 4 | |a Lie groups | |
| 650 | 4 | |a Lie algebras | |
| 650 | 0 | 7 | |a Mathematische Physik |0 (DE-588)4037952-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Konforme Gruppe |0 (DE-588)4128571-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Gruppentheorie |0 (DE-588)4072157-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Lie-Gruppe |0 (DE-588)4035695-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Mathematische Physik |0 (DE-588)4037952-8 |D s |
| 689 | 0 | 1 | |a Gruppentheorie |0 (DE-588)4072157-7 |D s |
| 689 | 0 | 2 | |a Lie-Gruppe |0 (DE-588)4035695-4 |D s |
| 689 | 0 | 3 | |a Konforme Gruppe |0 (DE-588)4128571-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Rubakov, Valerij A. |d 1955-2022 |e Verfasser |0 (DE-588)128387408 |4 aut | |
| 856 | 4 | 2 | |m LoC Fremddatenuebernahme |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030335201&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-030335201 | ||
Datensatz im Suchindex
| _version_ | 1804178527092736000 |
|---|---|
| adam_text | THEORY OF GROUPS AND SYMMETRIES
/ ISAEV, ALEXEY P.YYD1957-YYEAUTHOR
: 2018
TABLE OF CONTENTS / INHALTSVERZEICHNIS
GROUPS AND TRANSFORMATIONS
LIE GROUPS
LIE ALGEBRAS
REPRESENTATIONS OF GROUPS AND LIE ALGEBRAS
COMPACT LIE ALGEBRAS
ROOT SYSTEMS AND CLASSIFICATION OF SIMPLE LIE ALGEBRAS
HOMOGENEOUS SPACES AND THEIR GEOMETRY
SOLUTIONS TO SELECTED PROBLEMS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Isaev, Alexey P. 1957- Rubakov, Valerij A. 1955-2022 |
| author_GND | (DE-588)1165801876 (DE-588)128387408 |
| author_facet | Isaev, Alexey P. 1957- Rubakov, Valerij A. 1955-2022 |
| author_role | aut aut |
| author_sort | Isaev, Alexey P. 1957- |
| author_variant | a p i ap api v a r va var |
| building | Verbundindex |
| bvnumber | BV044942306 |
| callnumber-first | Q - Science |
| callnumber-label | QC20 |
| callnumber-raw | QC20.7.G76 |
| callnumber-search | QC20.7.G76 |
| callnumber-sort | QC 220.7 G76 |
| callnumber-subject | QC - Physics |
| classification_rvk | SK 340 |
| ctrlnum | (OCoLC)1031446404 (DE-599)BVBBV044942306 |
| dewey-full | 512/.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.2 |
| dewey-search | 512/.2 |
| dewey-sort | 3512 12 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03335nam a2200553 c 4500</leader><controlfield tag="001">BV044942306</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20190403 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">180514s2018 si |||| |||| 00||| eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a">018001918</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9789813236851</subfield><subfield code="9">978-981-3236-85-1</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">981323685X</subfield><subfield code="9">981-3236-85-X</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1031446404</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV044942306</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">si</subfield><subfield code="c">SG</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-29T</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-19</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QC20.7.G76</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512/.2</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 340</subfield><subfield code="0">(DE-625)143232:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Isaev, Alexey P.</subfield><subfield code="d">1957-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1165801876</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Theory of groups and symmetries</subfield><subfield code="b">finite groups, Lie groups, and Lie algebras</subfield><subfield code="c">Alexey P Isaev, Valery A Rubakov</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New Jersey</subfield><subfield code="b">World Scientific</subfield><subfield code="c">[2018]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 2018</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">xv, 458 pages</subfield><subfield code="b">Diagramme</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and index</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">"The book presents the main approaches in study of algebraic structures of symmetries in models of theoretical and mathematical physics, namely groups and Lie algebras and their deformations. It covers the commonly encountered quantum groups (including Yangians). The second main goal of the book is to present a differential geometry of coset spaces that is actively used in investigations of models of quantum field theory, gravity and statistical physics. The third goal is to explain the main ideas about the theory of conformal symmetries, which is the basis of the AdS/CFT correspondence. The theory of groups and symmetries is an important part of theoretical physics. In elementary particle physics, cosmology and related fields, the key role is played by Lie groups and algebras corresponding to continuous symmetries. For example, relativistic physics is based on the Lorentz and Poincare groups, and the modern theory of elementary particles ... the Standard Model ... is based on gauge (local) symmetry with the gauge group SU(3) x SU(2) x U(1). This book presents constructions and results of a general nature, along with numerous concrete examples that have direct applications in modern theoretical and mathematical physics"...</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Group theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Group algebras</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Finite groups</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Lie groups</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Lie algebras</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematische Physik</subfield><subfield code="0">(DE-588)4037952-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Konforme Gruppe</subfield><subfield code="0">(DE-588)4128571-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Gruppentheorie</subfield><subfield code="0">(DE-588)4072157-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Lie-Gruppe</subfield><subfield code="0">(DE-588)4035695-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Mathematische Physik</subfield><subfield code="0">(DE-588)4037952-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Gruppentheorie</subfield><subfield code="0">(DE-588)4072157-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Lie-Gruppe</subfield><subfield code="0">(DE-588)4035695-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="3"><subfield code="a">Konforme Gruppe</subfield><subfield code="0">(DE-588)4128571-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Rubakov, Valerij A.</subfield><subfield code="d">1955-2022</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)128387408</subfield><subfield code="4">aut</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">LoC Fremddatenuebernahme</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030335201&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-030335201</subfield></datafield></record></collection> |
| id | DE-604.BV044942306 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T08:05:23Z |
| institution | BVB |
| isbn | 9789813236851 981323685X |
| language | English |
| lccn | 018001918 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030335201 |
| oclc_num | 1031446404 |
| open_access_boolean | |
| owner | DE-29T DE-703 DE-19 DE-BY-UBM |
| owner_facet | DE-29T DE-703 DE-19 DE-BY-UBM |
| physical | xv, 458 pages Diagramme |
| publishDate | 2018 |
| publishDateSearch | 2018 |
| publishDateSort | 2018 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Isaev, Alexey P. 1957- Verfasser (DE-588)1165801876 aut Theory of groups and symmetries finite groups, Lie groups, and Lie algebras Alexey P Isaev, Valery A Rubakov New Jersey World Scientific [2018] © 2018 xv, 458 pages Diagramme txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index "The book presents the main approaches in study of algebraic structures of symmetries in models of theoretical and mathematical physics, namely groups and Lie algebras and their deformations. It covers the commonly encountered quantum groups (including Yangians). The second main goal of the book is to present a differential geometry of coset spaces that is actively used in investigations of models of quantum field theory, gravity and statistical physics. The third goal is to explain the main ideas about the theory of conformal symmetries, which is the basis of the AdS/CFT correspondence. The theory of groups and symmetries is an important part of theoretical physics. In elementary particle physics, cosmology and related fields, the key role is played by Lie groups and algebras corresponding to continuous symmetries. For example, relativistic physics is based on the Lorentz and Poincare groups, and the modern theory of elementary particles ... the Standard Model ... is based on gauge (local) symmetry with the gauge group SU(3) x SU(2) x U(1). This book presents constructions and results of a general nature, along with numerous concrete examples that have direct applications in modern theoretical and mathematical physics"... Group theory Group algebras Finite groups Lie groups Lie algebras Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Konforme Gruppe (DE-588)4128571-2 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Lie-Gruppe (DE-588)4035695-4 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 s Gruppentheorie (DE-588)4072157-7 s Lie-Gruppe (DE-588)4035695-4 s Konforme Gruppe (DE-588)4128571-2 s DE-604 Rubakov, Valerij A. 1955-2022 Verfasser (DE-588)128387408 aut LoC Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030335201&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Isaev, Alexey P. 1957- Rubakov, Valerij A. 1955-2022 Theory of groups and symmetries finite groups, Lie groups, and Lie algebras Group theory Group algebras Finite groups Lie groups Lie algebras Mathematische Physik (DE-588)4037952-8 gnd Konforme Gruppe (DE-588)4128571-2 gnd Gruppentheorie (DE-588)4072157-7 gnd Lie-Gruppe (DE-588)4035695-4 gnd |
| subject_GND | (DE-588)4037952-8 (DE-588)4128571-2 (DE-588)4072157-7 (DE-588)4035695-4 |
| title | Theory of groups and symmetries finite groups, Lie groups, and Lie algebras |
| title_auth | Theory of groups and symmetries finite groups, Lie groups, and Lie algebras |
| title_exact_search | Theory of groups and symmetries finite groups, Lie groups, and Lie algebras |
| title_full | Theory of groups and symmetries finite groups, Lie groups, and Lie algebras Alexey P Isaev, Valery A Rubakov |
| title_fullStr | Theory of groups and symmetries finite groups, Lie groups, and Lie algebras Alexey P Isaev, Valery A Rubakov |
| title_full_unstemmed | Theory of groups and symmetries finite groups, Lie groups, and Lie algebras Alexey P Isaev, Valery A Rubakov |
| title_short | Theory of groups and symmetries |
| title_sort | theory of groups and symmetries finite groups lie groups and lie algebras |
| title_sub | finite groups, Lie groups, and Lie algebras |
| topic | Group theory Group algebras Finite groups Lie groups Lie algebras Mathematische Physik (DE-588)4037952-8 gnd Konforme Gruppe (DE-588)4128571-2 gnd Gruppentheorie (DE-588)4072157-7 gnd Lie-Gruppe (DE-588)4035695-4 gnd |
| topic_facet | Group theory Group algebras Finite groups Lie groups Lie algebras Mathematische Physik Konforme Gruppe Gruppentheorie Lie-Gruppe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030335201&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT isaevalexeyp theoryofgroupsandsymmetriesfinitegroupsliegroupsandliealgebras AT rubakovvalerija theoryofgroupsandsymmetriesfinitegroupsliegroupsandliealgebras |