Lectures on algebraic quantum groups:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Basel u. a.
Birkhäuser
2002
|
| Series: | Advanced courses in mathematics - CRM Barcelona
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 331 - 339 |
| Physical Description: | IX, 348 S. |
| ISBN: | 3764367148 |
Staff View
MARC
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| 100 | 1 | |a Brown, Ken A. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Lectures on algebraic quantum groups |c Ken A. Brown ; Ken R. Goodearl |
| 264 | 1 | |a Basel u. a. |b Birkhäuser |c 2002 | |
| 300 | |a IX, 348 S. | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 0 | |a Advanced courses in mathematics - CRM Barcelona | |
| 500 | |a Literaturverz. S. 331 - 339 | ||
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Record in the Search Index
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|---|---|
| adam_text | CONTENTS
Preface
....................................................................
vii
Part I. Background and Beginnings
1.1. Beginnings and first examples
............................................ 1
1.2.
Further quantized coordinate rings
...................................... 15
1.3.
The quantized enveloping algebra of s^ik)
.............................. 25
1.4.
The finite dimensional representations of
Uq(sl¿(k))
..................... 29
1.5.
Primer on
semisimple
Lie algebras
...................................... 39
1.6.
Structure and representation theory of Uq(g) with
q
generic
............. 45
1.7.
Generic quantized coordinate rings of semisirnple groups
................ 59
1.8.
Oq(G) is a noetherian domain
.......................................... 69
Appendices to Part I
1.9.
Bialgebras and
Hopf
algebras
........................................... 81
1.10.
R-matrices
............................................................ 93
1.
11.
The Diamond Lemma
................................................. 97
1.12.
Filtered and graded rings
............................................. 103
1.13.
Polynomial identity algebras
......................................... 113
1.14.
Skew polynomial rings satisfying a polynomial identity
................ 119
1.15.
Homological conditions
............................................... 125
1.16.
Links and blocks
..................................................... 129
Part II. Generic Quantized Coordinate Rings
11.
1.
The prime spectrum
.................................................. 135
11.
2.
Stratification
......................................................... 147
11.
3.
Proof of the Stratification Theorem
................................... 159
11.4. Prime ideals in Oq{G)
................................................ 165
11.
5.
if-primes in iterated skew polynomial algebras
........................ 173
11.
6.
More on iterated skew polynomial algebras
........................... 185
11.
7.
The primitive spectrum
.............................................. 195
11.
8.
The Dixmier-Moeglin equivalence
..................................... 205
11.
9.
Catenarity
........................................................... 215
11.10.
Problems and conjectures
........................................... 229
vi
CONTENTS
Part III. Quantized algebras at Roots of Unity
III.l. Finite dimensional modules for
affine
PI algebras
..................... 237
III..2. The finite dimensional representations of Uf (s^fc))
.................. 247
Ш.З.
The finite dimensional representations of Ot(SL2(k))
................. 255
111.
4.
Basic properties of PI
Hopf
triples
................................... 259
111.
5.
Poisson
structures
................................................... 273
111.6. Structure of U€{q)
................................................... 281
111.
7.
Structure and representations of
O ¿(G)
.............................. 289
111.
8.
Homological properties and the Azumaya locus
...................... 303
Ш.9.
Müllers
Theorem and blocks
........................................ 313
III.
10.
Problems and perspectives
.......................................... 323
Bibliography
.............................................................. 331
Index
..................................................................... 341
|
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| author | Brown, Ken A. Goodearl, K. R. 1945- |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.55 |
| dewey-search | 512/.55 |
| dewey-sort | 3512 255 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV014200719 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:59:28Z |
| institution | BVB |
| isbn | 3764367148 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009735044 |
| oclc_num | 49867476 |
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| owner | DE-355 DE-BY-UBR DE-739 DE-384 DE-634 DE-11 |
| owner_facet | DE-355 DE-BY-UBR DE-739 DE-384 DE-634 DE-11 |
| physical | IX, 348 S. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Birkhäuser |
| record_format | marc |
| series2 | Advanced courses in mathematics - CRM Barcelona |
| spelling | Brown, Ken A. Verfasser aut Lectures on algebraic quantum groups Ken A. Brown ; Ken R. Goodearl Basel u. a. Birkhäuser 2002 IX, 348 S. txt rdacontent n rdamedia nc rdacarrier Advanced courses in mathematics - CRM Barcelona Literaturverz. S. 331 - 339 Algebraïsche groepen gtt Grupos quânticos larpcal Kwantumgroepen gtt Álgebra larpcal Associative algebras Quantum groups Quantengruppe (DE-588)4252437-4 gnd rswk-swf Quantengruppe (DE-588)4252437-4 s DE-604 Goodearl, K. R. 1945- Verfasser (DE-588)102222297X aut Digitalisierung UB Augsburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009735044&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Brown, Ken A. Goodearl, K. R. 1945- Lectures on algebraic quantum groups Algebraïsche groepen gtt Grupos quânticos larpcal Kwantumgroepen gtt Álgebra larpcal Associative algebras Quantum groups Quantengruppe (DE-588)4252437-4 gnd |
| subject_GND | (DE-588)4252437-4 |
| title | Lectures on algebraic quantum groups |
| title_auth | Lectures on algebraic quantum groups |
| title_exact_search | Lectures on algebraic quantum groups |
| title_full | Lectures on algebraic quantum groups Ken A. Brown ; Ken R. Goodearl |
| title_fullStr | Lectures on algebraic quantum groups Ken A. Brown ; Ken R. Goodearl |
| title_full_unstemmed | Lectures on algebraic quantum groups Ken A. Brown ; Ken R. Goodearl |
| title_short | Lectures on algebraic quantum groups |
| title_sort | lectures on algebraic quantum groups |
| topic | Algebraïsche groepen gtt Grupos quânticos larpcal Kwantumgroepen gtt Álgebra larpcal Associative algebras Quantum groups Quantengruppe (DE-588)4252437-4 gnd |
| topic_facet | Algebraïsche groepen Grupos quânticos Kwantumgroepen Álgebra Associative algebras Quantum groups Quantengruppe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009735044&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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