Deligne-Lusztig characters of the finite general linear groups and eigenvectors of Lannes' T-functor

DOI10.1016/j.aim.2018.11.010zbMath1453.20064OpenAlexW2900772606WikidataQ128888606 ScholiaQ128888606MaRDI QIDQ1711905

Nguyen Dang Ho Hai

Publication date: 18 January 2019

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2018.11.010

zbMATH Keywords

Deligne-Lusztig charactersSteinberg representationCampbell-Selick summandsinjective unstable modulesLannes' T-functor

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Grothendieck groups, (K)-theory, etc. (16E20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Polynomial algebras over the Steenrod algebra
• On the classification of unstable \(H^{\ast}V\)-\(A\)-modules
• A proof of Schwartz's conjecture about the eigenvalues of Lannes' \(T\)-functor
• The Segal conjecture for elementary abelian \(p\)-groups
• Representations of finite classical groups. A Hopf algebra approach
• On function spaces whose source is the classifying space of an elementary abelian \(p\)-group
• Representations of reductive groups over finite fields
• Generic representations of the finite general linear groups and the Steenrod algebra. II
• Sur la structure des A-modules instables injectifs
• On a conjecture of Lionel Schwartz about the eigenvalues of Lannes' T-functor
• The Characters of the Finite General Linear Groups
• Prime Power Representations Of Finite Linear Groups
• Lannes' T Functor on Summands of H ∗ (B(Z/p) s )
• On Certain Stable Wedge Summands of B(𝓩/p)ⁿ+
• Divisibility of Projective Modules of Finite Chevalley Groups by the Steinberg Module
• Stable decompositions of classifying spaces of finite abelianp-groups
• Lannes’ T functor on injective unstable modules and Harish-Chandra restriction
• Characterizations of spectra with 𝒰-injective cohomology which satisfy the Brown-Gitler property
• Théorie de Smith algébrique et classification des $H\sp*V$-$\cal{U}$-injectifs
• Sur L'anneau De Grothendieck De La Catégorie Des Modules Instables