Characters of Reductive Groups over a Finite Field. (AM-107), Volume 107 / / George Lusztig
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| Autore: |
Lusztig George
|
| Titolo: |
Characters of Reductive Groups over a Finite Field. (AM-107), Volume 107 / / George Lusztig
|
| Pubblicazione: | Princeton, NJ : , : Princeton University Press, , [2016] |
| ©1984 | |
| Descrizione fisica: | 1 online resource (408 pages) : illustrations |
| Disciplina: | 512/.2 |
| Soggetto topico: | Finite groups |
| Finite fields (Algebra) | |
| Characters of groups | |
| Classificazione: | SK 260 |
| Note generali: | Bibliographic Level Mode of Issuance: Monograph |
| Nota di bibliografia: | Includes bibliographical references and indexes. |
| Nota di contenuto: | Frontmatter -- TABLE OF CONTENTS -- INTRODUCTION -- 1. COMPUTATION OF LOCAL INTERSECTION COHOMOLOGY OF CERTAIN LINE BUNDLES OVER A SCHUBERT VARIETY -- 2. LOCAL INTERSECTION COHOMOLOGY WITH TWISTED COEFFICIENTS OF THE CLOSURES OF THE VARIETIES XW -- 3. GLOBAL INTERSECTION COHOMOLOGY WITH TWISTED COEFFICIENTS OF THE VARIETY X̅W -- 4. REPRESENTATIONS OF WEYL GROUPS -- 5. CELLS IN WEYL GROUPS -- 6. AN INTEGRALITY THEOREM AND A DISJOINTNESS THEOREM -- 7. SOME EXCEPTIONAL GROUPS -- 8. DECOMPOSITION OF INDUCED REPRESENTATIONS -- 9. CLASSICAL GROUPS -- 10. COMPLETION OF THE PROOF OF THEOREM 4.23 -- 11. EIGENVALUES OF FROBENIUS -- 12. ON THE STRUCTURE OF LEFT CELLS -- 13. RELATIONS WITH CONJUGACY CLASSES -- 14. CONCLUDING REMARKS -- APPENDIX -- REFERENCES -- SUBJECT INDEX -- NOTATION INDEX -- Backmatter |
| Sommario/riassunto: | 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 cohomology, anddetailed information on representations of Weylgroups. |
| Titolo autorizzato: | Characters of Reductive Groups over a Finite Field. (AM-107), Volume 107 |
| ISBN: | 9781400881772 |
| 1400881773 | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910154752803321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Annals of mathematics studies ; ; Number 107.