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Lectures on Algebraic Quantum Groups
Overview of attention for book
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
Overall attention for this book and its chapters
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Mentioned by
syllabi
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institution with syllabi
Citations
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Book overview
1. Beginnings and First Examples
2. Further Quantized Coordinate Rings
3. The Quantized Enveloping Algebra of sl 2 ( k )
4. The Finite Dimensional Representations of U q (sl 2 ( k ))
5. Primer on Semisimple Lie Algebras
6. Structure and Representation Theory of U q (g)with q Generic
7. Generic Quantized Coordinate Rings of Semisimple Groups
8. O q ( G ) is a Noetherian Domain
9. Bialgebras and Hopf Algebras
10. R-Matrices
11. The Diamond Lemma
12. Filtered and Graded Rings
13. Polynomial Identity Algebras
14. Skew Polynomial Rings Satisfying a Polynomial Identity
15. Homological Conditions
16. Links and Blocks
17. The Prime Spectrum
18. Stratification
19. Proof of the Stratification Theorem
20. Prime Ideals in O q ( G )
21. H -Primes in Iterated Skew Polynomial Algebras
22. More on Iterated Skew Polynomial Algebras
23. The Primitive Spectrum
24. The Dixmier-Moeglin Equivalence
25. Catenarity
26. Problems and Conjectures
27. Finite Dimensional Modules for Affine PI Algebras
28. The Finite Dimensional Representations of U ∈ ( sl 2 ( k ))
29. The Finite Dimensional Representations of O ∈ (SL 2 ( k ))
30. Basic Properties of PI Hopf Triples
31. Poisson Structures
32. Structure of U ∈ (g)
33. Structure and Representations of O ∈ ( G )
34. Homological Properties and the Azumaya Locus
35. Müller’s Theorem and Blocks
36. Problems and Perspectives
Summary
Syllabi
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