Semi Simple Lie Algebras and Their Representations by Robert
N. Cahn
File Type :PDF Number of Pages :164
Description The present volume is intended to meet the need of particle physicists
for a book which is accessible to nonmathematicians. The focus is on the
semisimple Lie algebras, and especially on their representations since it is
they, and not just the algebras themselves, which are of greatest interest to
the physicist. Topics covered includes:The Killing Form, The Structure of Simple
Lie Algebras, A Little about Representations, Structure of Simple Lie Algebras,
Simple Roots and the Cartan Matrix, The Classical Lie Algebras, The Exceptional
Lie Algebras, Casimir Operators and Freudenthal’s Formula, The Weyl Group,
Weyl’s Dimension Formula, Reducing Product Representations, Subalgebras and
Branching Rules.
