Characters of Reductive Groups Over a Finite Field

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Princeton University Press, 1984 - Mathematics - 384 pages
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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.

 

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Contents

COMPUTATION OF LOCAL INTERSECTION COHOMOLOGY
3
LOCAL INTERSECTION COHOMOLOGY WITH TWISTED
30
GLOBAL INTERSECTION COHOMOLOGY WITH TWISTED
58
REPRESENTATIONS OF WEYL GROUPS
76
CELLS IN WEYL GROUPS
134
AN INTEGRALITY THEOREM AND A DISJOINTNESS
180
SOME EXCEPTIONAL GROUPS
217
DECOMPOSITION OF INDUCED REPRESENTATIONS
251
COMPLETION OF THE PROOF OF THEOREM 4 23
296
EIGENVALUES OF FROBENIUS
313
ON THE STRUCTURE OF LEFT CELLS
324
RELATIONS WITH CONJUGACY CLASSES
342
CONCLUDING REMARKS
351
APPENDIX
358
REFERENCES
377
NOTATION INDEX
383

CLASSICAL GROUPS
269

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Page 383 - Characters of reductive groups over a finite field. Annals of Mathematics Studies. No. 107. Princeton.
Page 383 - Finite groups. 2. Finite fields (Algebra) 3. Characters of groups. I. Title. II. Series. QA171.L847 1984 512...

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About the author (1984)

Lusztig is Professor of Mathematics at the Massachusetts Institute of Technology.

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