Irreducible representations of finite classical groups

From MaRDI portal
Publication:1244397

DOI10.1007/BF01390002zbMath0372.20033OpenAlexW2060410406MaRDI QIDQ1244397

George Lusztig

Publication date: 1977

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142512



Related Items

Bounds on the number and sizes of conjugacy classes in finite Chevalley groups with applications to derangements, Representations of Generic Algebras and Finite Groups of Lie Type, Character sheaves. V, Generalized Harish-Chandra theory for unipotent characters of finite classical groups, Unipotent classes and special Weyl group representations., String \(C\)-groups with real Schur index 2, Foncteurs de Lusztig et caractères des groupes linéaires et unitaires sur un corps fini. (Lusztig functors and characters of linear and unitary groups over a finite field), A remark on the irreducible characters and fake degrees of finite real reflection groups, Representations of finite groups, Action of automorphisms on irreducible characters of symplectic groups, A note on perfect isometries between finite general linear and unitary groups at unitary primes, Filtrations of the discrete series of \(SL_ 2(q)\) via crystalline cohomology, Remarks on symbols, hooks and degrees of unipotent characters, On the computation of unipotent characters of finite classical groups, Uniform projection of the Weil character, A sharp upper bound for the size of Lusztig series, A truncation formula for certain principal indecomposable modules of finite chevalley groups, Representations of finite groups of Lie type, Some numerical results on the characters of exceptional Weyl groups, Fonctions $L$ des variétés de Deligne-Lusztig et descente de Shintani, Howe correspondence for reductive groups over finite fields, Descents of unipotent cuspidal representations of finite classical groups, On the Gan-Gross-Prasad problem for finite unitary groups, Generalized Green functions associated to complex reflection groups, Galois group action and Jordan decomposition of characters of finite reductive groups with connected center, On the inductive McKay-Navarro condition for finite groups of Lie type in their defining characteristic, Deligne-Lusztig characters and principal indecomposable modules, Categorical actions on unipotent representations of finite unitary groups, Induced cuspidal representations and generalised Hecke rings, Combinatorics of the Springer correspondence for classical Lie algebras and their duals in characteristic 2, Cells in modified \(\imath\)quantum groups of type AIII and related Schur algebras, On the unipotent characters of the exceptional groups over finite fields, Computing Green functions in small characteristic, The characters of Weil representations associated to finite fields, On the distribution of the major index on standard Young tableaux, Local \(L\) and epsilon factors in Hecke eigenvalues, Howe correspondence and Springer correspondence for real reductive dual pairs, Ordinary and modular characters of \(\mathrm{SL}(3,p)\)., The 2-decomposition numbers of Sp(4,q), q odd, Cohomology of Deligne-Lusztig varieties for short-length regular elements in exceptional groups., Unipotent characters of the symplectic and odd orthogonal groups over a finite field, Zur Reduktion modulo p der Charaktere von Deligne und Lusztig, A Gelfand model for Weyl groups of type \(D_{2n}\)., Brauer trees in classical groups, Duality and character values of finite groups of Lie type, Categorical actions on unipotent representations of finite classical groups, \(\mathrm{Sp}_{2n}(\mathbb F_{q^2})\)-invariants in irreducible unipotent representations of \(\mathrm{Sp}_{4n}(\mathbb F_q)\)., Reflection compound representations of groups of type A//n,B//n or \(C_ n\)., Induced conjugacy classes in classical Lie-algebras, A construction of almost all Brauer trees, The Waring problem for finite simple groups., Supercuspidal representations and preservation principle of theta correspondence, Character sheaves on disconnected groups, X, Remarks on Springer’s representations, Generalized exponents of small representations. I, Deligne-Lusztig varieties and period domains over finite fields, Unipotent characters of exceptional groups over finite fields fQWith small q, On Gelfand models for finite Coxeter groups, Isolated blocks in finite classical groups. II., Scopes reduction and Morita equivalence classes of blocks in finite classical groups. II., The exterior and symmetric square of the reflection representation of \(A_n(q)\) and \(D_n(q)\)., Unipotent class functions of split special orthogonal groups over finite fields, Odd character degrees for \(\text{Sp}(2n,2)\)., The unipotent class functions of exceptional groups over finite fields, Computing Kazhdan-Lusztig cells for unequal parameters., Multiplicity of the Adjoint Representation in Simple Quotients of the Enveloping Algebra of a Simple Lie Algebra, Reflection Groups, Base change for ramified unitary groups: the strongly ramified case, The Markov traces and the Fourier transforms., Nonsplit Hecke algebras and perverse sheaves, Weil representations of finite classical groups, Interrelations of symplectic and orthogonal groups in characteristic two, On the Gan-Gross-Prasad problem for finite classical groups, Totally orthogonal finite simple groups, Blocks with cyclic defect groups in 𝐺𝐿(𝑛,𝑞), Covariants of the symmetric group and its analogs in Weyl algebras, MINIMAL IRREDUCIBILITY AND THE UNIPOTENT CHARACTERS OF GROUPS OF TYPE Bm AND Cm, The Schur indices of the cuspidal unipotent characters of the finite unitary groups, Die Quasiaffinität der Deligne-Lusztig-Varietäten. (The quasi- affinity of the Deligne-Lusztig varieties), Reflection groups and orthogonal polynomials on the sphere, Symmetric power functoriality for holomorphic modular forms, Wreath product of linear groups, On the values of unipotent characters of finite Chevalley groups of type \(E_6\) in characteristic 3, Frobenius–Schur indicators of unipotent characters and the twisted involution module, Differential-Difference Operators Associated to Reflection Groups, Harish-Chandra cuspidal pairs, Tableau posets and the fake degrees of coinvariant algebras, On the inductive blockwise Alperin weight condition for classical groups, The blocks of finite general linear and unitary groups, Remarks on the theta correspondence over finite fields, Scopes reduction and Morita equivalence classes of blocks in finite classical groups, Formulae relating the Bernstein and Iwahori-Matsumoto presentations of an affine Hecke algebra., The Steinberg Character of Finite Classical Groups, Intersection cohomology complexes on a reductive group, Multiplicity of the Adjoint Representation in Simple Quotients of the Enveloping Algebra of a Simple Lie Algebra, Isométries de caractères et équivalences de Morita ou dérivées. (Isometries of characters and Morita or derived equivalences), Unipotent blocks of finite reductive groups of a given type, Fourier transforms and Frobenius eigenvalues for finite Coxeter groups., The unipotent class functions of non-split finite special orthogonal groups, A bijective proof of the hook-length formula and its analogs, Weak cuspidality and the Howe correspondence, Alperin weight conjecture and related developments, Imprimitive irreducible modules for finite quasisimple groups. II, Unnamed Item, Unnamed Item, COHOMOLOGY OF THE BRUHAT–TITS STRATA IN THE UNRAMIFIED UNITARY RAPOPORT–ZINK SPACE OF SIGNATURE, Geometric construction of Heisenberg-Weil representations for finite unitary groups and Howe correspondences, Wavefront sets and descent method for finite unitary groups, The character table of the finite Chevalley group \(F_4(q)\) for \(q\) a power of \(2\), Descents of unipotent representations of finite unitary groups, Unipotent \(\ell\)-blocks for simply connected \(p\)-adic groups, Generic Hecke algebra and theta correspondence over finite fields, Unipotent Characters of the Even Orthogonal Groups over a Finite Field, Irreducible representations of odd degree, On modular Harish-Chandra series of finite unitary groups, Characters of supercuspidal representations of classical groups, The Lusztig-Macdonald-Wall polynomial conjectures and 𝑞-difference equations, Coinvariant algebras and fake degrees for spin Weyl groups of classical type, Unipotent Representations and Reductive Dual Pairs over Finite Fields, Weights for Classical Groups, Markov traces and generic degrees in type \(B_n\)., The unipotent class functions on the symplectic groups and the odd orthogonal groups over finite fields, Unnamed Item, Irreducible representations of finite spin groups, Green functions associated to complex reflection groups, Unnamed Item, Imprimitive irreducible modules for finite quasisimple groups, The sparsity of character tables of high rank groups of Lie type, Inductive McKay condition for finite simple groups of type 𝖢



Cites Work