Representation theory : a first course

Table of Contents

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   Book Overview
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   Chapter 1 Representations of Finite Groups
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   Chapter 2 Characters
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   Chapter 3 Examples; Induced Representations; Group Algebras; Real Representations
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   Chapter 4 Representations of $${\mathfrak{S}_{_d}}$$ : Young Diagrams and Frobenius’s Character Formula
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   Chapter 5 Representations of $${\mathfrak{U}_d}$$ and $$G{L_2}\left( {{\mathbb{F}_q}} \right)$$
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   Chapter 6 Weyl’s Construction
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   Chapter 7 Lie Groups
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   Chapter 8 Lie Algebras and Lie Groups
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    Chapter 9 Initial Classification of Lie Algebras
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    Chapter 10 Lie Algebras in Dimensions One, Two, and Three
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    Chapter 11 Representations of sl2ℂ
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    Chapter 12 Representations of sl3ℂ, Part I
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    Chapter 13 Representations ofsl3ℂ, Part II: Mainly Lots of Examples
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    Chapter 14 The General Setup: Analyzing the Structure and Representations of an Arbitrary Semisimple Lie Algebra
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    Chapter 15 sl4ℂ and slnℂ
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    Chapter 16 Symplectic Lie Algebras
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    Chapter 17 sp6ℂ and sp2nℂ
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    Chapter 18 Orthogonal Lie Algebras
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    Chapter 19 so6ℂ, so7ℂ and somℂ
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    Chapter 20 Spin Representations of $$\mathfrak{s}{\mathfrak{d}_m}\mathbb{C}$$
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    Chapter 21 The Classification of Complex Simple Lie Algebras
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    Chapter 22 g2 and Other Exceptional Lie Algebras
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    Chapter 23 Complex Lie Groups; Characters
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    Chapter 24 Weyl Character Formula
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    Chapter 25 More Character Formulas
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    Chapter 26 Real Lie Algebras and Lie Groups