Representation Theory - A First Course - W. Fulton J. Harris

Representation Theory - A First Course - W. Fulton J. Harris

Contents:
1.- Representations of Finite Groups
2.- Characters
3.- Examples; Induced Representations; Group Algebras; Real Representations
4.- Representations of $: Young Diagrams and Frobenius's
5.- Representations of /I and GL2(Yq)
6.- Weyl's Construction
7.- Lie Groups
8.- Lie Algebras and Lie Groups
9.- Initial Classification of Lie Algebras
10.-Lie Algebras in Dimensions One, Two, and Three
11.- Representations of sl2C
12.- Representations of,sl3C, Part I
13.- Representations of sl3C, Part II: Mainly Lots of Examples
14.- The General Set-up: Analyzing the Structure and Representations of an Arbitrary Semisimpie Lic Algebra
15.- sl4C and slnC
16.- Symplectic Lie Algebras
17.- sp6C and ,sp2, C
18.- Orthogonal Lie Algebras

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