Permutation representations and a fragment of the decomposition matrix of symplectic and special linear groups over a finite field

DOI10.1007/BF00974487zbMath0761.20018OpenAlexW2315012360MaRDI QIDQ1174011

Irene D. Suprunenko, Alexander E. Zalesskij

Publication date: 25 June 1992

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00974487

zbMATH Keywords

multiplicitiescomposition factorsdecomposition matrixmodular permutation representation

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20)

Related Items (13)

Clifford and Mackey theory for Weil representations of symplectic groups. ⋮ Minimally irreducible groups of prime degree ⋮ Finite imprimitive linear groups of prime degree. ⋮ Groups that have the same holomorph as a finite perfect group ⋮ Real constituents of permutation characters ⋮ Decomposition numbers and global properties ⋮ On extended Weil representation for finite general linear group and Howe correspondence ⋮ In memoriam: Irina Dmitrievna Suprunenko (1954--2022) ⋮ Invariants of maximal tori and unipotent constituents of some quasi-projective characters for finite classical groups ⋮ The Weil-Steinberg character of finite classical groups ⋮ The permutation representation of \(\text{Sp}(2m,\mathbb{F}_p)\) acting on the vectors of its standard module. ⋮ Rank 3 permutation modules of the finite classical groups. ⋮ Cross characteristic representations of symplectic and unitary groups

Cites Work

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• Über die Zerlegungszahlen der unitären Gruppen \(PSU(3,2^{2f})\)
• Ordinary and modular characters of \(\mathrm{SL}(3,p)\).
• Singer-Zyklen in klassischen Gruppen
• Die Zerlegungsmatrizen der Gruppen \(PSL(2,p^f)\)
• Weil representations associated to finite fields
• Über die Zerlegungszahlen der Suzukigruppen Sz(q)
• Permutation modules for rank 3 unitary groups
• Permutation modules for rank 3 symplectic and orthogonal groups
• Hecke algebras and characters of parabolic type of finite groups with (B, N)-pairs
• Cartan Invariants
• The 2-Transitive Permutation Representations of the Finite Chevalley Groups
• On the Modular Characters of the Special Linear Group SL (2, pⁿ )

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