Group theory : birdtracks, Lie's, and exceptional groups / Predrag Cvitanović.

By:

Cvitanović, Predrag

Material type: Text

text

Media type:

computer

Carrier type:

online resource

ISBN:

9781400837670
1400837677

Subject(s):

Genre/Form:

Additional physical formats: Print version:: Group theory.DDC classification:

512/.2 22

LOC classification:

QA174.2 .C85 2008eb

Other classification:

SK 260

Online resources:

Click here to access online

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.

Summary: 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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Item type	Home library	Collection	Call number	Materials specified	Status	Date due	Barcode
Electronic-Books	OPJGU Sonepat- Campus	E-Books EBSCO			Available

Includes bibliographical references (pages 243-258) and index.

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

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