Characters of Reductive Groups over a Finite Field
1st Edition
Published on 6. June 2016
408 pages
978-1-4008-8177-2 (ISBN)
Description
This book presents a classification of all (complex)
irreducible representations of a reductive group with
connected centre, over a finite field. To achieve this,
the author uses etale intersection cohomology, and
detailed information on representations of Weyl
groups.
irreducible representations of a reductive group with
connected centre, over a finite field. To achieve this,
the author uses etale intersection cohomology, and
detailed information on representations of Weyl
groups.
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George Lusztig
Characters of Reductive Groups over a Finite Field
Book
06/1984
Princeton University Press
€107.30
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George Lusztig
Characters of Reductive Groups over a Finite Field
Book
06/1984
Princeton University Press
€76.88
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George Lusztig
Content
Frontmatter, pg. i
TABLE OF CONTENTS, pg. vii
INTRODUCTION, pg. ix
1. COMPUTATION OF LOCAL INTERSECTION COHOMOLOGY OF CERTAIN LINE BUNDLES OVER A SCHUBERT VARIETY, pg. 1
2. LOCAL INTERSECTION COHOMOLOGY WITH TWISTED COEFFICIENTS OF THE CLOSURES OF THE VARIETIES XW, pg. 30
3. GLOBAL INTERSECTION COHOMOLOGY WITH TWISTED COEFFICIENTS OF THE VARIETY X¯W, pg. 58
4. REPRESENTATIONS OF WEYL GROUPS, pg. 76
5. CELLS IN WEYL GROUPS, pg. 134
6. AN INTEGRALITY THEOREM AND A DISJOINTNESS THEOREM, pg. 180
7. SOME EXCEPTIONAL GROUPS, pg. 217
8. DECOMPOSITION OF INDUCED REPRESENTATIONS, pg. 251
9. CLASSICAL GROUPS, pg. 269
10. COMPLETION OF THE PROOF OF THEOREM 4.23, pg. 296
11. EIGENVALUES OF FROBENIUS, pg. 313
12. ON THE STRUCTURE OF LEFT CELLS, pg. 324
13. RELATIONS WITH CONJUGACY CLASSES, pg. 342
14. CONCLUDING REMARKS, pg. 351
APPENDIX, pg. 358
REFERENCES, pg. 377
SUBJECT INDEX, pg. 382
NOTATION INDEX, pg. 383
Backmatter, pg. 385
TABLE OF CONTENTS, pg. vii
INTRODUCTION, pg. ix
1. COMPUTATION OF LOCAL INTERSECTION COHOMOLOGY OF CERTAIN LINE BUNDLES OVER A SCHUBERT VARIETY, pg. 1
2. LOCAL INTERSECTION COHOMOLOGY WITH TWISTED COEFFICIENTS OF THE CLOSURES OF THE VARIETIES XW, pg. 30
3. GLOBAL INTERSECTION COHOMOLOGY WITH TWISTED COEFFICIENTS OF THE VARIETY X¯W, pg. 58
4. REPRESENTATIONS OF WEYL GROUPS, pg. 76
5. CELLS IN WEYL GROUPS, pg. 134
6. AN INTEGRALITY THEOREM AND A DISJOINTNESS THEOREM, pg. 180
7. SOME EXCEPTIONAL GROUPS, pg. 217
8. DECOMPOSITION OF INDUCED REPRESENTATIONS, pg. 251
9. CLASSICAL GROUPS, pg. 269
10. COMPLETION OF THE PROOF OF THEOREM 4.23, pg. 296
11. EIGENVALUES OF FROBENIUS, pg. 313
12. ON THE STRUCTURE OF LEFT CELLS, pg. 324
13. RELATIONS WITH CONJUGACY CLASSES, pg. 342
14. CONCLUDING REMARKS, pg. 351
APPENDIX, pg. 358
REFERENCES, pg. 377
SUBJECT INDEX, pg. 382
NOTATION INDEX, pg. 383
Backmatter, pg. 385
