Group theory :: a physicist's survey /
Group theory has long been an important computational tool for physicists, but, with the advent of the Standard Model, it has become a powerful conceptual tool as well. This book introduces physicists to many of the fascinating mathematical aspects of group theory, and mathematicians to its physics...
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1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cambridge ; New York :
Cambridge University Press,
2010.
|
Schlagworte: | |
Online-Zugang: | Volltext |
Zusammenfassung: | Group theory has long been an important computational tool for physicists, but, with the advent of the Standard Model, it has become a powerful conceptual tool as well. This book introduces physicists to many of the fascinating mathematical aspects of group theory, and mathematicians to its physics applications. Designed for advanced undergraduate and graduate students, this book gives a comprehensive overview of the main aspects of both finite and continuous group theory, with an emphasis on applications to fundamental physics. Finite groups are extensively discussed, highlighting their irreducible representations and invariants. Lie algebras, and to a lesser extent Kac-Moody algebras, are treated in detail, including Dynkin diagrams. Special emphasis is given to their representations and embeddings. The group theory underlying the Standard Model is discussed, along with its importance in model building. Applications of group theory to the classification of elementary particles are treated in detail. |
Beschreibung: | 1 online resource (ix, 310 pages) : illustrations |
Bibliographie: | Includes bibliographical references and index. |
ISBN: | 9780511776267 0511776268 9780511773686 0511773684 0521896037 9780521896030 9780511781865 0511781865 9786612657924 6612657928 1282657925 9781282657922 0511775504 9780511775505 0511772610 9780511772610 0511774745 9780511774744 |
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520 | |a Group theory has long been an important computational tool for physicists, but, with the advent of the Standard Model, it has become a powerful conceptual tool as well. This book introduces physicists to many of the fascinating mathematical aspects of group theory, and mathematicians to its physics applications. Designed for advanced undergraduate and graduate students, this book gives a comprehensive overview of the main aspects of both finite and continuous group theory, with an emphasis on applications to fundamental physics. Finite groups are extensively discussed, highlighting their irreducible representations and invariants. Lie algebras, and to a lesser extent Kac-Moody algebras, are treated in detail, including Dynkin diagrams. Special emphasis is given to their representations and embeddings. The group theory underlying the Standard Model is discussed, along with its importance in model building. Applications of group theory to the classification of elementary particles are treated in detail. | ||
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adam_text | |
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author | Ramond, Pierre, 1943- |
author_GND | http://id.loc.gov/authorities/names/n80155633 |
author_facet | Ramond, Pierre, 1943- |
author_role | |
author_sort | Ramond, Pierre, 1943- |
author_variant | p r pr |
building | Verbundindex |
bvnumber | localFWS |
callnumber-first | Q - Science |
callnumber-label | QC20 |
callnumber-raw | QC20.7.G76 R36 2010eb |
callnumber-search | QC20.7.G76 R36 2010eb |
callnumber-sort | QC 220.7 G76 R36 42010EB |
callnumber-subject | QC - Physics |
collection | ZDB-4-EBA |
contents | Preface: The pursuit of symmetries -- Finite groups : an introduction -- Finite groups : representations -- Hilbert Spaces -- SU(2) -- SU(3) -- Classification of compact simple Lie algebras -- Lie algebras : representation theory -- Finite groups : the road to simplicity -- Beyond Lie algebras -- The groups of the Standard Model -- Exceptional structures. |
ctrlnum | (OCoLC)650310431 |
dewey-full | 530.1522 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 530 - Physics |
dewey-raw | 530.1522 |
dewey-search | 530.1522 |
dewey-sort | 3530.1522 |
dewey-tens | 530 - Physics |
discipline | Physik |
format | Electronic eBook |
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id | ZDB-4-EBA-ocn650310431 |
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indexdate | 2024-11-27T13:17:23Z |
institution | BVB |
isbn | 9780511776267 0511776268 9780511773686 0511773684 0521896037 9780521896030 9780511781865 0511781865 9786612657924 6612657928 1282657925 9781282657922 0511775504 9780511775505 0511772610 9780511772610 0511774745 9780511774744 |
language | English |
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publishDate | 2010 |
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publisher | Cambridge University Press, |
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spelling | Ramond, Pierre, 1943- https://id.oclc.org/worldcat/entity/E39PBJyRDFWCr6XBjpRV3GHHmd http://id.loc.gov/authorities/names/n80155633 Group theory : a physicist's survey / Pierre Ramond. Cambridge ; New York : Cambridge University Press, 2010. 1 online resource (ix, 310 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references and index. Print version record. Preface: The pursuit of symmetries -- Finite groups : an introduction -- Finite groups : representations -- Hilbert Spaces -- SU(2) -- SU(3) -- Classification of compact simple Lie algebras -- Lie algebras : representation theory -- Finite groups : the road to simplicity -- Beyond Lie algebras -- The groups of the Standard Model -- Exceptional structures. Group theory has long been an important computational tool for physicists, but, with the advent of the Standard Model, it has become a powerful conceptual tool as well. This book introduces physicists to many of the fascinating mathematical aspects of group theory, and mathematicians to its physics applications. Designed for advanced undergraduate and graduate students, this book gives a comprehensive overview of the main aspects of both finite and continuous group theory, with an emphasis on applications to fundamental physics. Finite groups are extensively discussed, highlighting their irreducible representations and invariants. Lie algebras, and to a lesser extent Kac-Moody algebras, are treated in detail, including Dynkin diagrams. Special emphasis is given to their representations and embeddings. The group theory underlying the Standard Model is discussed, along with its importance in model building. Applications of group theory to the classification of elementary particles are treated in detail. English. Group theory. http://id.loc.gov/authorities/subjects/sh85057512 Théorie des groupes. SCIENCE Physics Mathematical & Computational. bisacsh Group theory fast Gruppentheorie gnd Mathematische Physik gnd http://d-nb.info/gnd/4037952-8 Electronic book. Electronic books. has work: Group theory (Text) https://id.oclc.org/worldcat/entity/E39PCFxKGHPGQhyQT3Thgg6Wj3 https://id.oclc.org/worldcat/ontology/hasWork Print version: Ramond, Pierre, 1943- Group theory. Cambridge ; New York : Cambridge University Press, 2010 9780521896030 (OCoLC)460059774 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=324107 Volltext |
spellingShingle | Ramond, Pierre, 1943- Group theory : a physicist's survey / Preface: The pursuit of symmetries -- Finite groups : an introduction -- Finite groups : representations -- Hilbert Spaces -- SU(2) -- SU(3) -- Classification of compact simple Lie algebras -- Lie algebras : representation theory -- Finite groups : the road to simplicity -- Beyond Lie algebras -- The groups of the Standard Model -- Exceptional structures. Group theory. http://id.loc.gov/authorities/subjects/sh85057512 Théorie des groupes. SCIENCE Physics Mathematical & Computational. bisacsh Group theory fast Gruppentheorie gnd Mathematische Physik gnd http://d-nb.info/gnd/4037952-8 |
subject_GND | http://id.loc.gov/authorities/subjects/sh85057512 http://d-nb.info/gnd/4037952-8 |
title | Group theory : a physicist's survey / |
title_auth | Group theory : a physicist's survey / |
title_exact_search | Group theory : a physicist's survey / |
title_full | Group theory : a physicist's survey / Pierre Ramond. |
title_fullStr | Group theory : a physicist's survey / Pierre Ramond. |
title_full_unstemmed | Group theory : a physicist's survey / Pierre Ramond. |
title_short | Group theory : |
title_sort | group theory a physicist s survey |
title_sub | a physicist's survey / |
topic | Group theory. http://id.loc.gov/authorities/subjects/sh85057512 Théorie des groupes. SCIENCE Physics Mathematical & Computational. bisacsh Group theory fast Gruppentheorie gnd Mathematische Physik gnd http://d-nb.info/gnd/4037952-8 |
topic_facet | Group theory. Théorie des groupes. SCIENCE Physics Mathematical & Computational. Group theory Gruppentheorie Mathematische Physik Electronic book. Electronic books. |
url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=324107 |
work_keys_str_mv | AT ramondpierre grouptheoryaphysicistssurvey |