06356nam 22018015 450 991015475280332120190708092533.01-4008-8177-310.1515/9781400881772(CKB)3710000000620140(SSID)ssj0001651247(PQKBManifestationID)16426439(PQKBTitleCode)TC0001651247(PQKBWorkID)13700154(PQKB)10595664(MiAaPQ)EBC4738579(DE-B1597)467930(OCoLC)979746993(DE-B1597)9781400881772(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: Monograph0-691-08350-9 0-691-08351-7 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 groupsAddition.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.Finite groups.Finite fields (Algebra)Characters of groups.512/.2SK 260rvkLusztig George, 59231DE-B1597DE-B1597BOOK9910154752803321Characters of Reductive Groups over a Finite Field. (AM-107), Volume 1072788036UNINA02177nam 2200481z- 450 991055757910332120231214133321.0(CKB)5400000000043858(oapen)https://directory.doabooks.org/handle/20.500.12854/74418(EXLCZ)99540000000004385820202111d2020 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierCannabis Genomics, Breeding and ProductionFrontiers Media SA20201 electronic resource (229 p.)2-88966-290-X This eBook is a collection of articles from a Frontiers Research Topic. Frontiers Research Topics are very popular trademarks of the Frontiers Journals Series: they are collections of at least ten articles, all centered on a particular subject. With their unique mix of varied contributions from Original Research to Review Articles, Frontiers Research Topics unify the most influential researchers, the latest key findings and historical advances in a hot research area! Find out more on how to host your own Frontiers Research Topic or contribute to one as an author by contacting the Frontiers Editorial Office: frontiersin.org/about/contactScience: general issuesbicsscBotany & plant sciencesbicssccannabinoidscultivar developmentphotobiologyfertilizer applicationplant pathologyplant growth-promoting rhizobacteriapolyploidflower inductionScience: general issuesBotany & plant sciencesLawrence Smith Donaldedt1289249Wilkins OliviaedtElSohly and Giuseppe Mandolino Mahmoud AedtLawrence Smith DonaldothWilkins OliviaothElSohly and Giuseppe Mandolino Mahmoud AothBOOK9910557579103321Cannabis Genomics, Breeding and Production3021142UNINA