Characters of Reductive Groups over a Finite Field

AvGeorge Lusztig

Häftad, Engelska, 1984

Del i serien Annals of Mathematics Studies

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Beskrivning

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.

Produktinformation

Utgivningsdatum:1984-06-21
Mått:152 x 229 x 25 mm
Vikt:658 g
Format:Häftad
Språk:Engelska
Serie:Annals of Mathematics Studies
Antal sidor:408
Förlag:Princeton University Press
ISBN:9780691083513

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Grupper och gruppteori inom Naturvetenskap och teknik

Innehållsförteckning

*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