Mod p Reducibility of Unramified Representations of Finite Groups of Lie Type
From MaRDI portal
Publication:3152213
DOI10.1112/plms/84.2.439zbMath1020.20008OpenAlexW2021172503MaRDI QIDQ3152213
Pham Hũ'u Tiêp, Alexander E. Zalesskij
Publication date: 22 October 2002
Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/plms/84.2.439
finite groups of Lie typeirreducible modulesirreducible complex representationsmodular representationsSteinberg representationglobally irreducible lattices
Representation theory for linear algebraic groups (20G05) Representations of finite groups of Lie type (20C33)
Related Items (16)
Reducibility modulo $p$ of complex representations of finite groups of Lie type: Asymptotical result and small characteristic cases ⋮ Hesselink normal forms of unipotent elements in some representations of classical groups in characteristic two ⋮ Unnamed Item ⋮ In memoriam: Irina Dmitrievna Suprunenko (1954--2022) ⋮ Unnamed Item ⋮ Unipotent elements of finite groups of Lie type and realization fields of their complex representations. ⋮ On the Jordan block structure of images of some unipotent elements in modular irreducible representations of the classical algebraic groups. ⋮ Quasi-projective and quasi-liftable characters. ⋮ On the Jordan block structure of a product of long and short root elements in irreducible representations of algebraic groups of type \(B_r\) ⋮ On the block structure of regular unipotent elements from subsystem subgroups of type \(A_1\times A_2\) in representations of the special linear group. ⋮ Finite \(p\)-central groups of height \(k\). ⋮ Almost cyclic elements in cross-characteristic representations of finite groups of Lie type ⋮ On the Lie algebra structure of 𝐻𝐻¹(𝐴) of a finite-dimensional algebra 𝐴 ⋮ Jordan blocks of unipotent elements in some irreducible representations of classical groups in good characteristic ⋮ Extensions for finite Chevalley groups. I. ⋮ Regular unipotent elements from subsystem subgroups of rank 2 in modular representations of classical groups.
This page was built for publication: Mod p Reducibility of Unramified Representations of Finite Groups of Lie Type
