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

Format:

Book

Author/Creator:

Lusztig, George, author.

Series:

Annals of mathematics studies ; Number 107.

Annals of Mathematics Studies ; 278

Language:

English

Subjects (All):

Finite groups.

Finite fields (Algebra).

Characters of groups.

Physical Description:

1 online resource (408 pages) : illustrations.

Place of Publication:

Princeton, NJ : Princeton University Press, [2016]

Language Note:

English

System Details:

Mode of access: World Wide Web.

Summary:

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.

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

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references and indexes.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)

ISBN:

9781400881772

1400881773

OCLC:

979746993