Characters of Reductive Groups over a Finite Field
Published on 21. June 1984
Book
Paperback/Softback
408 pages
978-0-691-08351-3 (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.
More details
Series
Language
English
Place of publication
New Jersey
United States
Target group
Professional and scholarly
College/higher education
Product notice
Paperback (trade)
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 25 mm
Weight
660 gr
ISBN-13
978-0-691-08351-3 (9780691083513)
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Other editions
Additional editions
George Lusztig
Characters of Reductive Groups over a Finite Field
E-Book
06/2016
1st Edition
Princeton University Press
€150.99
Available for download
Person
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