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Lectures on Algebraic Quantum Groups

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Table of Contents

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    Book Overview
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    Chapter 1 Beginnings and First Examples
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    Chapter 2 Further Quantized Coordinate Rings
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    Chapter 3 The Quantized Enveloping Algebra of sl 2 ( k )
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    Chapter 4 The Finite Dimensional Representations of U q (sl 2 ( k ))
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    Chapter 5 Primer on Semisimple Lie Algebras
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    Chapter 6 Structure and Representation Theory of U q (g)with q Generic
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    Chapter 7 Generic Quantized Coordinate Rings of Semisimple Groups
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    Chapter 8 O q ( G ) is a Noetherian Domain
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    Chapter 9 Bialgebras and Hopf Algebras
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    Chapter 10 R-Matrices
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    Chapter 11 The Diamond Lemma
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    Chapter 12 Filtered and Graded Rings
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    Chapter 13 Polynomial Identity Algebras
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    Chapter 14 Skew Polynomial Rings Satisfying a Polynomial Identity
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    Chapter 15 Homological Conditions
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    Chapter 16 Links and Blocks
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    Chapter 17 The Prime Spectrum
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    Chapter 18 Stratification
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    Chapter 19 Proof of the Stratification Theorem
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    Chapter 20 Prime Ideals in O q ( G )
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    Chapter 21 H -Primes in Iterated Skew Polynomial Algebras
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    Chapter 22 More on Iterated Skew Polynomial Algebras
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    Chapter 23 The Primitive Spectrum
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    Chapter 24 The Dixmier-Moeglin Equivalence
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    Chapter 25 Catenarity
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    Chapter 26 Problems and Conjectures
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    Chapter 27 Finite Dimensional Modules for Affine PI Algebras
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    Chapter 28 The Finite Dimensional Representations of U ∈ ( sl 2 ( k ))
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    Chapter 29 The Finite Dimensional Representations of O ∈ (SL 2 ( k ))
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    Chapter 30 Basic Properties of PI Hopf Triples
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    Chapter 31 Poisson Structures
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    Chapter 32 Structure of U ∈ (g)
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    Chapter 33 Structure and Representations of O ∈ ( G )
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    Chapter 34 Homological Properties and the Azumaya Locus
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    Chapter 35 Müller’s Theorem and Blocks
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    Chapter 36 Problems and Perspectives
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Title
Lectures on Algebraic Quantum Groups
Published by
Birkhäuser Basel, December 2012
DOI 10.1007/978-3-0348-8205-7
ISBNs
978-3-03-488205-7, 978-3-76-436714-5
Authors

Brown, Ken A., Goodearl, Ken R.

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 32 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
United Kingdom 1 3%
Unknown 31 97%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 4 13%
Student > Master 2 6%
Professor 1 3%
Other 1 3%
Researcher 1 3%
Other 0 0%
Unknown 23 72%
Readers by discipline Count As %
Mathematics 8 25%
Physics and Astronomy 1 3%
Unknown 23 72%