TY - GEN AU - Cvitanović, Predrag TI - Group theory: birdtracks, lie's, and exceptional groups SN - 9780691202983 U1 - 512.2 PY - 2020/// CY - New Jersey PB - Princeton University Press KW - Algebra KW - Group Theory KW - Integrals KW - Permutations KW - Diagrammatic Notation N1 - Includes bibliographical references and index N2 - 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, "birdtrac ER -