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Group Theory : Birdtracks, Lie's, and Exceptional Groups by Predrag Cvitanović is a nonfiction available to read on EtoBox.

What is Group Theory : Birdtracks, Lie's, and Exceptional Groups about?

<p>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.</p> <p>The invariant tensors are presented in a somewhat unconventional, but in recent years widely used, "birdtracks" notation inspired by the Feynman diagrams of quantum field theory. Notably, invariant tensor diagrams replace algebraic reasoning in carrying out all group-theoretic computations. The diagrammatic approach is particularly effective in evaluating complicated coefficients and group weights, and revealing symmetries hidden by conventional algebraic or index notations. The book covers most topics needed in applications from this new perspective: permutations, Young projection operators, spinorial representations, Casimir operators, and Dynkin indices. Beyond this well-traveled territ

Who reads Group Theory : Birdtracks, Lie's, and Exceptional Groups?

Author

Predrag Cvitanović

Publisher

Princeton University Press

Published

2008

Language

EN

ISBN

9781400837670

Category

nonfiction

Subjects

Science, Mathematics, Physics