Group theory :: birdtracks, Lie's, and exceptional groups /
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 o...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, N.J. :
Princeton University Press,
©2008.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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 resource (xii, 273 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 243-258) and index. |
| ISBN: | 9781400837670 1400837677 |
Internformat
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| 245 | 1 | 0 | |a Group theory : |b birdtracks, Lie's, and exceptional groups / |c Predrag Cvitanović. |
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| 300 | |a 1 online resource (xii, 273 pages) : |b illustrations | ||
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| 504 | |a Includes bibliographical references (pages 243-258) and index. | ||
| 505 | 0 | |a 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. | |
| 588 | 0 | |a Print version record. | |
| 520 | |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
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn705945735 |
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| _version_ | 1816881753310101505 |
| adam_text | |
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| author | Cvitanović, Predrag |
| author_facet | Cvitanović, Predrag |
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| author_sort | Cvitanović, Predrag |
| author_variant | p c pc |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA174 |
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| collection | ZDB-4-EBA |
| contents | 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. |
| ctrlnum | (OCoLC)705945735 |
| 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 | ZDB-4-EBA-ocn705945735 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:17:43Z |
| institution | BVB |
| isbn | 9781400837670 1400837677 |
| language | English |
| oclc_num | 705945735 |
| open_access_boolean | |
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| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xii, 273 pages) : illustrations |
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| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Princeton University Press, |
| record_format | marc |
| spelling | Cvitanović, Predrag. Group theory : birdtracks, Lie's, and exceptional groups / Predrag Cvitanović. Princeton, N.J. : Princeton University Press, ©2008. 1 online resource (xii, 273 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references (pages 243-258) 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. Print version record. 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 Group theory. http://id.loc.gov/authorities/subjects/sh85057512 Théorie des groupes. MATHEMATICS Group Theory. bisacsh Group theory fast Gruppentheorie gnd Halbeinfache Lie-Algebra gnd http://d-nb.info/gnd/4193986-4 Lie-Gruppe gnd http://d-nb.info/gnd/4035695-4 has work: Group theory (Text) https://id.oclc.org/worldcat/entity/E39PCGcK3gXwMpYR9wdrkwtBj3 https://id.oclc.org/worldcat/ontology/hasWork Print version: Cvitanović, Predrag. Group theory. Princeton, N.J. : Princeton University Press, ©2008 9780691118369 (DLC) 2008062101 (OCoLC)213133467 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=355983 Volltext |
| spellingShingle | Cvitanović, Predrag Group theory : birdtracks, Lie's, and exceptional groups / 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. Group theory. http://id.loc.gov/authorities/subjects/sh85057512 Théorie des groupes. MATHEMATICS Group Theory. bisacsh Group theory fast Gruppentheorie gnd Halbeinfache Lie-Algebra gnd http://d-nb.info/gnd/4193986-4 Lie-Gruppe gnd http://d-nb.info/gnd/4035695-4 |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85057512 http://d-nb.info/gnd/4193986-4 http://d-nb.info/gnd/4035695-4 |
| 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 | Group theory. http://id.loc.gov/authorities/subjects/sh85057512 Théorie des groupes. MATHEMATICS Group Theory. bisacsh Group theory fast Gruppentheorie gnd Halbeinfache Lie-Algebra gnd http://d-nb.info/gnd/4193986-4 Lie-Gruppe gnd http://d-nb.info/gnd/4035695-4 |
| topic_facet | Group theory. Théorie des groupes. MATHEMATICS Group Theory. Group theory Gruppentheorie Halbeinfache Lie-Algebra Lie-Gruppe |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=355983 |
| work_keys_str_mv | AT cvitanovicpredrag grouptheorybirdtracksliesandexceptionalgroups |