Group theory: birdtracks, Lie's, and exceptional groups
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, N.J.
Princeton University Press
©2008
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| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references (pages 251-268) and index A preview -- Invariants and reducibility -- Diagrammatic notation -- Recouplings -- Permutations -- Casimir operators -- Group integrals -- Unitary groups / P. Cvitanovic, H. Elvang, and A.D. Kennedy -- Orthogonal groups -- Spinors / P. Cvitanovic and A.D. Kennedy -- Symplectic groups -- Negative dimensions / P. Cvitanovic and A.D. Kennedy -- Spinors' symplectic sisters / P. Cvitanovic and A.D. Kennedy -- SU(n) family of invariance groups -- G₂ family of invariance groups -- E family of invariance groups -- E₆ family of invariance groups -- F₄ family of invariance groups -- E-- family and its negative-dimensional cousins -- Exceptional magic -- Appendix A: Recursive decomposition -- Appendix B: Properties of young projections / H. Elvang and P. Cvitanovic If classical Lie groups preserve bilinear vector norms, what Lie groups preserve trilinear, quadrilinear, and higher order invariants? Answering this question from a fresh and original perspective, Predrag Cvitanovic takes the reader on the amazing, four-thousand-diagram journey through the theory of Lie groups. This book is the first to systematically develop, explain, and apply diagrammatic projection operators to construct all semi-simple Lie algebras, both classical and exceptional. The invariant tensors are presented in a somewhat unconventional, but in recent years widely used, "birdt |
| Beschreibung: | 1 Online-Ressource (xii, 273 pages) |
| ISBN: | 0691118361 1400837677 9780691118369 9781400837670 |
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| 245 | 1 | 0 | |a Group theory |b birdtracks, Lie's, and exceptional groups |c Predrag Cvitanović |
| 264 | 1 | |a Princeton, N.J. |b Princeton University Press |c ©2008 | |
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| 500 | |a Includes bibliographical references (pages 251-268) and index | ||
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| 500 | |a If classical Lie groups preserve bilinear vector norms, what Lie groups preserve trilinear, quadrilinear, and higher order invariants? Answering this question from a fresh and original perspective, Predrag Cvitanovic takes the reader on the amazing, four-thousand-diagram journey through the theory of Lie groups. This book is the first to systematically develop, explain, and apply diagrammatic projection operators to construct all semi-simple Lie algebras, both classical and exceptional. The invariant tensors are presented in a somewhat unconventional, but in recent years widely used, "birdt | ||
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Datensatz im Suchindex
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| author | Cvitanović, Predrag |
| author_facet | Cvitanović, Predrag |
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| bvnumber | BV043161114 |
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| ctrlnum | (OCoLC)705945735 (DE-599)BVBBV043161114 |
| 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 | Electronic eBook |
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| id | DE-604.BV043161114 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:19:22Z |
| institution | BVB |
| isbn | 0691118361 1400837677 9780691118369 9781400837670 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028585305 |
| oclc_num | 705945735 |
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| owner_facet | DE-1046 DE-1047 |
| physical | 1 Online-Ressource (xii, 273 pages) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Princeton University Press |
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| spelling | Cvitanović, Predrag Verfasser aut Group theory birdtracks, Lie's, and exceptional groups Predrag Cvitanović Princeton, N.J. Princeton University Press ©2008 1 Online-Ressource (xii, 273 pages) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references (pages 251-268) and index A preview -- Invariants and reducibility -- Diagrammatic notation -- Recouplings -- Permutations -- Casimir operators -- Group integrals -- Unitary groups / P. Cvitanovic, H. Elvang, and A.D. Kennedy -- Orthogonal groups -- Spinors / P. Cvitanovic and A.D. Kennedy -- Symplectic groups -- Negative dimensions / P. Cvitanovic and A.D. Kennedy -- Spinors' symplectic sisters / P. Cvitanovic and A.D. Kennedy -- SU(n) family of invariance groups -- G₂ family of invariance groups -- E family of invariance groups -- E₆ family of invariance groups -- F₄ family of invariance groups -- E-- family and its negative-dimensional cousins -- Exceptional magic -- Appendix A: Recursive decomposition -- Appendix B: Properties of young projections / H. Elvang and P. Cvitanovic If classical Lie groups preserve bilinear vector norms, what Lie groups preserve trilinear, quadrilinear, and higher order invariants? Answering this question from a fresh and original perspective, Predrag Cvitanovic takes the reader on the amazing, four-thousand-diagram journey through the theory of Lie groups. This book is the first to systematically develop, explain, and apply diagrammatic projection operators to construct all semi-simple Lie algebras, both classical and exceptional. The invariant tensors are presented in a somewhat unconventional, but in recent years widely used, "birdt Mathematics MATHEMATICS / Group Theory bisacsh Group theory fast Halbeinfache Lie-Algebra swd Gruppentheorie swd Lie-Gruppe swd Mathematik Group theory http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=355983 Aggregator Volltext |
| spellingShingle | Cvitanović, Predrag Group theory birdtracks, Lie's, and exceptional groups Mathematics MATHEMATICS / Group Theory bisacsh Group theory fast Halbeinfache Lie-Algebra swd Gruppentheorie swd Lie-Gruppe swd Mathematik Group theory |
| title | Group theory birdtracks, Lie's, and exceptional groups |
| title_auth | Group theory birdtracks, Lie's, and exceptional groups |
| title_exact_search | Group theory birdtracks, Lie's, and exceptional groups |
| title_full | Group theory birdtracks, Lie's, and exceptional groups Predrag Cvitanović |
| title_fullStr | Group theory birdtracks, Lie's, and exceptional groups Predrag Cvitanović |
| title_full_unstemmed | Group theory birdtracks, Lie's, and exceptional groups Predrag Cvitanović |
| title_short | Group theory |
| title_sort | group theory birdtracks lie s and exceptional groups |
| title_sub | birdtracks, Lie's, and exceptional groups |
| topic | Mathematics MATHEMATICS / Group Theory bisacsh Group theory fast Halbeinfache Lie-Algebra swd Gruppentheorie swd Lie-Gruppe swd Mathematik Group theory |
| topic_facet | Mathematics MATHEMATICS / Group Theory Group theory Halbeinfache Lie-Algebra Gruppentheorie Lie-Gruppe Mathematik |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=355983 |
| work_keys_str_mv | AT cvitanovicpredrag grouptheorybirdtracksliesandexceptionalgroups |