The based ring of two-sided cells of affine Weyl groups of type à n-1:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
AMS
2002
|
| Series: | Memoirs of the American Mathematical Society
749 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | "Volume 157, number 749 (end of volume)." |
| Physical Description: | XIII, 95 S. |
| ISBN: | 0821828916 |
Staff View
MARC
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| 245 | 1 | 0 | |a The based ring of two-sided cells of affine Weyl groups of type à n-1 |c Nanhua Xi |
| 264 | 1 | |a Providence, RI |b AMS |c 2002 | |
| 300 | |a XIII, 95 S. | ||
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| 650 | 4 | |a K-theory | |
| 650 | 4 | |a Representations of groups | |
| 650 | 4 | |a Weyl groups | |
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Record in the Search Index
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| adam_text | Contents
Introduction xi
Chapter 1. Cells in Affine Weyl Groups 1
1.1. Hecke algebra 1
1.2. Cell and a-function 2
1.3. Affine Weyl group 3
1.4. Star operation 4
1.5. Based ring 9
1.6. Star operation, II 10
Chapter 2. Type An-X 12
2.1. The affine Weyl group associated with GLn(C) 12
2.2. Cells 14
2.3. The based ring Jc 15
2.4. Chains and antichains 17
2.5. Star operations for W 19
Chapter 3. Canonical Left Cells 22
3.1. The dominant weights 22
3.2. The right cell containing x e X+ 23
3.3. The elements mx 24
3.4. The distinguished involutions 26
Chapter 4. The Group Fx and Its Representation 30
4.1. The group Fx 30
4.2. The representation ring of F 31
Chapter 5. A Bijection Between Vx n F^1 And IrrFA 33
5.1. r-antichains of elements in Fx n F^1 33
5.2. A map from FA DF^1 to Dom(Fx) 43
5.3. Constructing elements of Tx nF^1 46
5.4. Some simple properties of elements in Fx D F^1 52
5.5. Some elements of Tx (~l T^1 54
Chapter 6. A Factorization Formula in J^^p-1 56
6.1. The integers ^fu,v,w 56
6.2. A computation for some fufv 58
6.3. Some consequences 64
6.4. The factorization formula 72
Chapter 7. A Multiplication Formula in ^nr-1 76
ix
x CONTENTS
7.1. A computation for some TUTV 76
7.2. A multiplication formula 80
Chapter 8. The Based Rings ^r^nr^1 and Jc 83
8.1. Some lemmas 83
8.2. The based ring Jr^nT-i and the based ring Jc 86
8.3. PGLn(C) X 87
8.4. SLn{C) 89
Bibliography 91
Index 92
Notation 93
|
| any_adam_object | 1 |
| author | Xi, Nanhua 1963- |
| author_GND | (DE-588)1145902561 |
| author_facet | Xi, Nanhua 1963- |
| author_role | aut |
| author_sort | Xi, Nanhua 1963- |
| author_variant | n x nx |
| building | Verbundindex |
| bvnumber | BV014325950 |
| classification_rvk | SI 130 |
| classification_tum | MAT 202f |
| ctrlnum | (OCoLC)48851308 (DE-599)BVBBV014325950 |
| dewey-full | 512/.55 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra 510 - Mathematics |
| dewey-raw | 512/.55 510 |
| dewey-search | 512/.55 510 |
| dewey-sort | 3512 255 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV014325950 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:01:43Z |
| institution | BVB |
| isbn | 0821828916 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009827249 |
| oclc_num | 48851308 |
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| physical | XIII, 95 S. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | AMS |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Xi, Nanhua 1963- Verfasser (DE-588)1145902561 aut The based ring of two-sided cells of affine Weyl groups of type à n-1 Nanhua Xi Providence, RI AMS 2002 XIII, 95 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 749 "Volume 157, number 749 (end of volume)." K-theory Representations of groups Weyl groups K-Theorie (DE-588)4033335-8 gnd rswk-swf Darstellungstheorie (DE-588)4148816-7 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 s Darstellungstheorie (DE-588)4148816-7 s K-Theorie (DE-588)4033335-8 s DE-604 Memoirs of the American Mathematical Society 749 (DE-604)BV008000141 749 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009827249&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Xi, Nanhua 1963- The based ring of two-sided cells of affine Weyl groups of type à n-1 Memoirs of the American Mathematical Society K-theory Representations of groups Weyl groups K-Theorie (DE-588)4033335-8 gnd Darstellungstheorie (DE-588)4148816-7 gnd Gruppentheorie (DE-588)4072157-7 gnd |
| subject_GND | (DE-588)4033335-8 (DE-588)4148816-7 (DE-588)4072157-7 |
| title | The based ring of two-sided cells of affine Weyl groups of type à n-1 |
| title_auth | The based ring of two-sided cells of affine Weyl groups of type à n-1 |
| title_exact_search | The based ring of two-sided cells of affine Weyl groups of type à n-1 |
| title_full | The based ring of two-sided cells of affine Weyl groups of type à n-1 Nanhua Xi |
| title_fullStr | The based ring of two-sided cells of affine Weyl groups of type à n-1 Nanhua Xi |
| title_full_unstemmed | The based ring of two-sided cells of affine Weyl groups of type à n-1 Nanhua Xi |
| title_short | The based ring of two-sided cells of affine Weyl groups of type à n-1 |
| title_sort | the based ring of two sided cells of affine weyl groups of type a n 1 |
| topic | K-theory Representations of groups Weyl groups K-Theorie (DE-588)4033335-8 gnd Darstellungstheorie (DE-588)4148816-7 gnd Gruppentheorie (DE-588)4072157-7 gnd |
| topic_facet | K-theory Representations of groups Weyl groups K-Theorie Darstellungstheorie Gruppentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009827249&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT xinanhua thebasedringoftwosidedcellsofaffineweylgroupsoftypean1 |