Lectures on Algebraic Quantum Groups

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ISBN: 978-3-7643-6714-5 (Print) 978-3-0348-8205-7 (Online)

Table of contents (36 chapters)

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  1. Front Matter

    Pages i-ix

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    Book Chapter

    Pages 1-14

    Beginnings and First Examples

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    Book Chapter

    Pages 15-23

    Further Quantized Coordinate Rings

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    Pages 25-28

    The Quantized Enveloping Algebra of sl2(k)

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    Pages 29-37

    The Finite Dimensional Representations of U q (sl2(k))

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    Pages 39-44

    Primer on Semisimple Lie Algebras

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    Pages 45-58

    Structure and Representation Theory of U q (g)with q Generic

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    Pages 59-67

    Generic Quantized Coordinate Rings of Semisimple Groups

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    Pages 69-80

    O q (G) is a Noetherian Domain

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    Pages 81-91

    Bialgebras and Hopf Algebras

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    Pages 93-96

    R-Matrices

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    Pages 97-101

    The Diamond Lemma

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    Pages 103-111

    Filtered and Graded Rings

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    Pages 113-117

    Polynomial Identity Algebras

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    Pages 119-123

    Skew Polynomial Rings Satisfying a Polynomial Identity

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    Pages 125-127

    Homological Conditions

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    Pages 129-133

    Links and Blocks

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    Pages 135-146

    The Prime Spectrum

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    Pages 147-158

    Stratification

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    Pages 159-164

    Proof of the Stratification Theorem

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    Book Chapter

    Pages 165-172

    Prime Ideals in O q (G)

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