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Representation Theory of Finite Monoids

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Cover of 'Representation Theory of Finite Monoids'

Table of Contents

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    Book Overview
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    Chapter 1 1 The Structure Theory of Finite Monoids
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    Chapter 2 2 ℜ $$\mathcal{R}$$ -trivial Monoids
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    Chapter 3 3 Inverse Monoids
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    Chapter 4 4 Recollement: The Theory of an Idempotent
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    Chapter 5 5 Irreducible Representations
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    Chapter 6 6 The Grothendieck Ring
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    Chapter 7 7 Characters and Class Functions
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    Chapter 8 8 Categories and Groupoids
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    Chapter 9 9 The Representation Theory of Inverse Monoids
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    Chapter 10 10 Bi-ideals and R. Steinberg’s Theorem
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    Chapter 11 11 The Rhodes Radical and Triangularizability
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    Chapter 12 12 Zeta Functions of Languages and Dynamical Systems
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    Chapter 13 13 Transformation Monoids
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    Chapter 14 14 Markov Chains
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    Chapter 15 15 Self-injective, Frobenius, and Symmetric Algebras
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    Chapter 16 16 Global Dimension
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    Chapter 17 17 Quivers of Monoid Algebras
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    Chapter 18 18 Further Developments
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    Chapter 19 Appendix A Finite Dimensional Algebras
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    Chapter 20 Appendix B Group Representation Theory
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    Chapter 21 Appendix C Incidence Algebras and Möbius Inversion
Attention for Chapter 6: 6 The Grothendieck Ring
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