Characters of Reductive Groups over a Finite Field. (AM-107), Volume 107 /

Characters of Reductive Groups over a Finite Field. (AM-107), Volume 107 / / George Lusztig.

This book presents a classification of all (complex)irreducible representations of a reductive group withconnected centre, over a finite field. To achieve this,the author uses etale intersection cohomology, anddetailed information on representations of Weylgroups.

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
VerfasserIn:
Lusztig, George,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2016]
©1984
Year of Publication:2016
Language:English
Series:Annals of Mathematics Studies ; 107
Online Access:
Physical Description:1 online resource (408 p.)
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Table of Contents:
  • Frontmatter
  • TABLE OF CONTENTS
  • INTRODUCTION
  • 1. COMPUTATION OF LOCAL INTERSECTION COHOMOLOGY OF CERTAIN LINE BUNDLES OVER A SCHUBERT VARIETY
  • 2. LOCAL INTERSECTION COHOMOLOGY WITH TWISTED COEFFICIENTS OF THE CLOSURES OF THE VARIETIES XW
  • 3. GLOBAL INTERSECTION COHOMOLOGY WITH TWISTED COEFFICIENTS OF THE VARIETY X̅W
  • 4. REPRESENTATIONS OF WEYL GROUPS
  • 5. CELLS IN WEYL GROUPS
  • 6. AN INTEGRALITY THEOREM AND A DISJOINTNESS THEOREM
  • 7. SOME EXCEPTIONAL GROUPS
  • 8. DECOMPOSITION OF INDUCED REPRESENTATIONS
  • 9. CLASSICAL GROUPS
  • 10. COMPLETION OF THE PROOF OF THEOREM 4.23
  • 11. EIGENVALUES OF FROBENIUS
  • 12. ON THE STRUCTURE OF LEFT CELLS
  • 13. RELATIONS WITH CONJUGACY CLASSES
  • 14. CONCLUDING REMARKS
  • APPENDIX
  • REFERENCES
  • SUBJECT INDEX
  • NOTATION INDEX
  • Backmatter

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