Geometry of Coxeter groups:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boston [u.a.]
Pitman
1982
|
| Series: | Research notes in mathematics
54 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 213 S. graph. Darst. |
| ISBN: | 0273085174 |
Staff View
MARC
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| 650 | 4 | |a Coxeter groups | |
| 650 | 4 | |a Homology theory | |
| 650 | 4 | |a Lie groups | |
| 650 | 4 | |a Topological groups | |
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Record in the Search Index
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| adam_text | Contents
INTRODUCTION 1
CHAPTER I. COXETER GROUPS 6
51. Coxeter systems 7
52. Tit s theorem 17
?,3. Root systems 22
54. Classification 31
n5 . Parabolic subgroups 41
56. Bruhat order 44
Jj7. Historical notes 48
Appendix:Forms 53
CHAPTER II. INVARIANT THEORY 57
51. Finiteness results 58
52. Poincare series 64
§3. Complex reflection groups 76
§4. Relative invariants 88
55. Historical notes 90
CHAPTER III. GEOMETRY OF GRASSMANNIANS 96
51. Preliminaries 97
52. Chern classes 99
3. Schubert calculus 107
54. Flag manifolds 118
55. Complements 127
CHAPTER IV. SCHUBERT CALCULUS OF THE COINVARIANT ALGEBRA 133
51. Basis theorem 134
52. Giambelli formula 140
§3. Pieri formula 147
} ¦ 4. Parabolic invariants 152
55. Geometry of the symmetric group 155
56. Complements 162
CHAPTER V. COMBINATORICS OF THE BRUHAT ORDER 165
51. Combinatorics 166
52. Miniscule weights Xl
53. Intersection theory 175
54. Seshadri s standard monomial theory 183
55. Complements 186
56. Affine Weyl groups 192
REFERENCES 202
INDEX 212
|
| any_adam_object | 1 |
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| dewey-search | 512/.55 |
| dewey-sort | 3512 255 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| institution | BVB |
| isbn | 0273085174 |
| language | English |
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| publishDateSearch | 1982 |
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| publisher | Pitman |
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| series | Research notes in mathematics |
| series2 | Research notes in mathematics Pitman advanced publishing program |
| spelling | Hiller, Howard Verfasser aut Geometry of Coxeter groups Howard Hiller Boston [u.a.] Pitman 1982 213 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Research notes in mathematics 54 Pitman advanced publishing program Coxeter groups Homology theory Lie groups Topological groups Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Coxeter-Gruppe (DE-588)4261522-7 gnd rswk-swf Geometrie (DE-588)4020236-7 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Coxetersche Gruppe gnd rswk-swf Coxeter-Gruppe (DE-588)4261522-7 s DE-604 Gruppentheorie (DE-588)4072157-7 s Coxetersche Gruppe f Geometrie (DE-588)4020236-7 s Research notes in mathematics 54 (DE-604)BV000000039 54 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002319285&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hiller, Howard Geometry of Coxeter groups Research notes in mathematics Coxeter groups Homology theory Lie groups Topological groups Gruppentheorie (DE-588)4072157-7 gnd Coxeter-Gruppe (DE-588)4261522-7 gnd Geometrie (DE-588)4020236-7 gnd |
| subject_GND | (DE-588)4072157-7 (DE-588)4261522-7 (DE-588)4020236-7 (DE-588)1071861417 |
| title | Geometry of Coxeter groups |
| title_auth | Geometry of Coxeter groups |
| title_exact_search | Geometry of Coxeter groups |
| title_full | Geometry of Coxeter groups Howard Hiller |
| title_fullStr | Geometry of Coxeter groups Howard Hiller |
| title_full_unstemmed | Geometry of Coxeter groups Howard Hiller |
| title_short | Geometry of Coxeter groups |
| title_sort | geometry of coxeter groups |
| topic | Coxeter groups Homology theory Lie groups Topological groups Gruppentheorie (DE-588)4072157-7 gnd Coxeter-Gruppe (DE-588)4261522-7 gnd Geometrie (DE-588)4020236-7 gnd |
| topic_facet | Coxeter groups Homology theory Lie groups Topological groups Gruppentheorie Coxeter-Gruppe Geometrie Konferenzschrift Coxetersche Gruppe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002319285&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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