Truncation and duality in the character ring of a finite group of Lie type
From MaRDI portal
Publication:1135923
DOI10.1016/0021-8693(80)90185-4zbMath0426.20006OpenAlexW2023688258WikidataQ115367267 ScholiaQ115367267MaRDI QIDQ1135923
Publication date: 1980
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(80)90185-4
truncationLevi factorunipotent radicalSteinberg charactervirtual characterfinite group of Lie typecomplex valued charactersprincipal series charactersstandard parabolic subgroup
Linear algebraic groups over finite fields (20G40) Ordinary representations and characters (20C15) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05)
Related Items
Character sheaves. III, Representations of Generic Algebras and Finite Groups of Lie Type, Products of derangements in simple permutation groups, A family of homology representations of finite groups of type \(B_ n\), On an invariant bilinear form on the space of automorphic forms via asymptotics, 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), L’involution de Zelevinski modulo ℓ, Representations of finite groups, Duality for classical 𝑝-adic groups: The half-integral case, Fonctions $L$ des variétés de Deligne-Lusztig et descente de Shintani, On the Gan-Gross-Prasad problem for finite unitary groups, Deligne-Lusztig duality and wonderful compactification, Duality in the space of tempered virtual characters of a reductive \(p\)-group, On the \(E\)-polynomials of a family of \({\mathrm {Sl}}_n\)-character varieties, Deligne–Lusztig duality on the moduli stack of bundles, Alvis-Curtis duality for representations of reductive groups with Frobenius maps, Extending real-valued characters of finite general linear and unitary groups on elements related to regular unipotents, Alvis-Curtis duality for finite general linear groups and a generalized Mullineux involution, p-adic analog of the Kazhdan-Lusztig hypothesis, The space of invariant functions on a finite Lie algebra, Duality for representations of a reductive group over a finite field, Duality and character values of finite groups of Lie type, Multiplicities of principal series representations of finite groups with split (B,N)-pairs, Remarques sur la dualité de Curtis, Fourier transforms of nilpotently supported invariant functions on a simple Lie algebra over a finite field, Fourier transforms of nilpotently supported invariant functions on a finite simple Lie algebra, On the representation theory of modular Hecke algebras, Duality for Representations of a Hecke Algebra, Duality, central characters, and real-valued characters of finite groups of Lie type., Character sheaves on disconnected groups, VIII, Principal series components of the gelfand characters of a finite group with a split (bn)-pair of characteristic p, The characters of the generalized Steinberg representations of finite general linear groups on the regular elliptic set, Mixed Hodge polynomials of character varieties. With an appendix by Nicholas M. Katz., The Green ring and modular representations of finite groups of Lie type, The modular Hecke algebra and Steinberg representation of finite Chevalley groups (with an appendix by Peter Landrock), The duality operation in the character ring of a finite Chevalley group, The explicit Zelevinsky–Aubert duality
Cites Work
- Unnamed Item
- Unnamed Item
- Some irreducible characters of groups with BN pairs
- A Mackey formula in the group of a Coxeter group. With an appendix by J. Tits: Two properties of Coxeter complexes
- Reduction theorems for characters of finite groups of Lie type
- Principal series representations of finite Chevalley groups
- The Steinberg character of a finite group with a \((B,N)\)-pair
- On the Steinberg characters of finite Chevalley groups
- Corrections and Additions to "On the Degrees and Rationality of Certain Characters of Finite Chevalley Groups"