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:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Publishing Company Pte Limited
2018
|
| Schlagworte: | |
| Online-Zugang: | UBY01 URL des Erstveröffentlichers |
| 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 (pages 499-452) and index 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 |
| Beschreibung: | 1 online resource (475 pages) illustrations |
| ISBN: | 9789813236868 9813236868 |
Internformat
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| 100 | 1 | |a Isaev, Alexey P. |d 1957- |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 Singapore |b World Scientific Publishing Company Pte Limited |c 2018 | |
| 300 | |a 1 online resource (475 pages) |b illustrations | ||
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| 500 | |a Includes bibliographical references (pages 499-452) and index | ||
| 500 | |a 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 | ||
| 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 | 4 | |a Electronic books | |
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Datensatz im Suchindex
| _version_ | 1804181615158493184 |
|---|---|
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| author | Isaev, Alexey P. 1957- |
| author_facet | Isaev, Alexey P. 1957- |
| author_role | aut |
| author_sort | Isaev, Alexey P. 1957- |
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| bvnumber | BV046810230 |
| classification_rvk | SK 340 |
| collection | ZDB-124-WOP |
| ctrlnum | (ZDB-124-WOP) 00010898 (OCoLC)1045420432 (DE-599)BVBBV046810230 |
| 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 |
| discipline_str_mv | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV046810230 |
| illustrated | Illustrated |
| index_date | 2024-07-03T14:58:45Z |
| indexdate | 2024-07-10T08:54:28Z |
| institution | BVB |
| isbn | 9789813236868 9813236868 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032218807 |
| oclc_num | 1045420432 |
| open_access_boolean | |
| owner | DE-706 |
| owner_facet | DE-706 |
| physical | 1 online resource (475 pages) illustrations |
| psigel | ZDB-124-WOP |
| publishDate | 2018 |
| publishDateSearch | 2018 |
| publishDateSort | 2018 |
| publisher | World Scientific Publishing Company Pte Limited |
| record_format | marc |
| spelling | Isaev, Alexey P. 1957- aut Theory of groups and symmetries finite groups, Lie groups, and Lie algebras Alexey P. Isaev, Valery A. Rubakov Singapore World Scientific Publishing Company Pte Limited 2018 1 online resource (475 pages) illustrations txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references (pages 499-452) and index 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 "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 Electronic books Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Lie-Gruppe (DE-588)4035695-4 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Konforme Gruppe (DE-588)4128571-2 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, V. A. Sonstige oth Erscheint auch als Druck-Ausgabe 9789813236851 Erscheint auch als Druck-Ausgabe 981323685X http://www.worldscientific.com/worldscibooks/10.1142/10898 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Isaev, Alexey P. 1957- Theory of groups and symmetries finite groups, Lie groups, and Lie algebras Group theory Group algebras Finite groups Lie groups Lie algebras Electronic books Gruppentheorie (DE-588)4072157-7 gnd Lie-Gruppe (DE-588)4035695-4 gnd Mathematische Physik (DE-588)4037952-8 gnd Konforme Gruppe (DE-588)4128571-2 gnd |
| subject_GND | (DE-588)4072157-7 (DE-588)4035695-4 (DE-588)4037952-8 (DE-588)4128571-2 |
| 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_exact_search_txtP | 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 Electronic books Gruppentheorie (DE-588)4072157-7 gnd Lie-Gruppe (DE-588)4035695-4 gnd Mathematische Physik (DE-588)4037952-8 gnd Konforme Gruppe (DE-588)4128571-2 gnd |
| topic_facet | Group theory Group algebras Finite groups Lie groups Lie algebras Electronic books Gruppentheorie Lie-Gruppe Mathematische Physik Konforme Gruppe |
| url | http://www.worldscientific.com/worldscibooks/10.1142/10898 |
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