03110nam 22006615 450 991015475280332120190708092533.09781400881772140088177310.1515/9781400881772(CKB)3710000000620140(SSID)ssj0001651247(PQKBManifestationID)16426439(PQKBTitleCode)TC0001651247(PQKBWorkID)13700154(PQKB)10595664(MiAaPQ)EBC4738579(DE-B1597)467930(OCoLC)979746993(DE-B1597)9781400881772(Perlego)736182(iGPub)PUPB0005505(EXLCZ)99371000000062014020190708d2016 fg engurcnu||||||||txtccrCharacters of Reductive Groups over a Finite Field. (AM-107), Volume 107 /George LusztigPrinceton, NJ : Princeton University Press, [2016]©19841 online resource (408 pages) illustrationsAnnals of Mathematics Studies ;278Bibliographic Level Mode of Issuance: Monograph9780691083506 0691083509 9780691083513 0691083517 Includes bibliographical references and indexes.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 -- BackmatterThis 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.Annals of mathematics studies ;Number 107.Finite groupsFinite fields (Algebra)Characters of groupsFinite groups.Finite fields (Algebra)Characters of groups.512/.2SK 260rvkLusztig George, 59231DE-B1597DE-B1597BOOK9910154752803321Characters of Reductive Groups over a Finite Field. (AM-107), Volume 1072788036UNINA