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Characters of reductive groups over a finite field

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Author(s): Lusztig, George
Series: Annals of Mathematics Studies 107
Edition: Repr.
Publisher: Princeton University Press
Year: 1984

Language: English
Pages: 384
City: Princeton, NJ

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