Characters of Reductive Groups over a Finite Field. (AM-107), Volume 107 / / George Lusztig

• Autore: Lusztig George
• 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
• Soggetto non controllato: Addition; Algebra representation; Algebraic closure; Algebraic group; Algebraic variety; Algebraically closed field; Bijection; Borel subgroup; Cartan subalgebra; Character table; Character theory; Characteristic function (probability theory); Characteristic polynomial; Class function (algebra); Classical group; Coefficient; Cohomology with compact support; Cohomology; Combination; Complex number; Computation; Conjugacy class; Connected component (graph theory); Coxeter group; Cyclic group; Cyclotomic polynomial; David Kazhdan; Dense set; Derived category; Diagram (category theory); Dimension; Direct sum; Disjoint sets; Disjoint union; E6 (mathematics); Eigenvalues and eigenvectors; Endomorphism; Equivalence class; Equivalence relation; Existential quantification; Explicit formula; Explicit formulae (L-function); Fiber bundle; Finite field; Finite group; Fourier transform; Green's function; Group (mathematics); Group action; Group representation; Harish-Chandra; Hecke algebra; Identity element; Integer; Irreducible representation; Isomorphism class; Jordan decomposition; Line bundle; Linear combination; Local system; Mathematical induction; Maximal torus; Module (mathematics); Monodromy; Morphism; Orthonormal basis; P-adic number; Parametrization; Parity (mathematics); Partially ordered set; Perverse sheaf; Pointwise; Polynomial; Quantity; Rational point; Reductive group; Ree group; Schubert variety; Scientific notation; Semisimple Lie algebra; Sheaf (mathematics); Simple group; Simple module; Special case; Standard basis; Subset; Subtraction; Summation; Surjective function; Symmetric group; Tensor product; Theorem; Two-dimensional space; Unipotent representation; Vector bundle; Vector space; Verma module; Weil conjecture; Weyl group; Zariski topology
• 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: 1-4008-8177-3
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910154752803321
• Lo trovi qui: Univ. Federico II
• Serie: Annals of mathematics studies ; ; Number 107.