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

• 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
• Physical Description: 1 online resource (408 p.)
• Other title: 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
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9781400881772; 9783110494914; 9783110442496
• DOI: 10.1515/9781400881772
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: 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.