Symmetries, Lie Algebras and Representations: A Graduate Course for Physicists Book

	Preface
1	Symmetries and conservation laws	1
2	Basic examples	17
3	The Lie algebra su(3) and hadron symmetries	30
4	Formalization: Algebras and Lie algebras	47
5	Representations	64
6	The Cartan-Weyl basis	82
7	Simple and affine Lie algebras	108
8	Real Lie algebras and real forms	133
9	Lie groups	144
10	Symmetries of the root system. The Weyl group	161
11	Automorphisms of Lie algebras	181
12	Loop algebras and central extensions	198
13	Highest weight representations	221
14	Verma modules, Casimirs, and the character formula	244
15	Tensor products of representations	266
16	Clebsch-Gordan coefficients and tensor operators	281
17	Invariant tensors	299
18	Subalgebras and branching rules	315
19	Young tableaux and the symmetric group	330
20	Spinors, Clifford algebras, and supersymmetry	340
21	Representations on function spaces	363
22	Hopf algebras and representation rings	386
	Epilogue	412
	References	421
	Index	430