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Characters of reductive groups over a finite field

Author: George Lusztig
Publisher: Princeton, N.J. : Princeton University Press, 1984.
Series: Annals of mathematics studies, no. 107.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
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  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: George Lusztig
ISBN: 0691083509 9780691083506 0691083517 9780691083513
OCLC Number: 10301506
Notes: Includes indexes.
Description: xxi, 384 pages : illustrations ; 25 cm.
Contents: *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
Series Title: Annals of mathematics studies, no. 107.
Responsibility: by George Lusztig.

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