Cross characteristic projective representations for some classical groups

DOI10.1006/jabr.2000.8300zbMath0962.20034OpenAlexW2084632510MaRDI QIDQ1579162

Corneliu G. Hoffman

Publication date: 22 March 2001

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/b1e54e92dfa620bbcc388525c8b47118e7b41f94

zbMATH Keywords

irreducible representationscross characteristic representationsprojective representationsfinite Chevalley groupsfinite simple classical groupsLie groups of finite type

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Representations of finite groups of Lie type (20C33) Projective representations and multipliers (20C25)

Related Items (10)

Cross characteristic representations of even characteristic symplectic groups ⋮ Groups with a \(p\)-element acting with a single non-trivial Jordan block on a simple module in characteristic \(p\) ⋮ Growth of cross-characteristic representations of finite quasisimple groups of Lie type. ⋮ On the permutation modules for orthogonal groups \(O^\pm_m(3)\) acting on nonsingular points of their standard modules. ⋮ The structure of rank 3 permutation modules for \(O^\pm_{2n}(2)\) and \(U_m(2)\) acting on nonsingular points. ⋮ Almost cyclic elements in cross-characteristic representations of finite groups of Lie type ⋮ Small representations are completely reducible ⋮ Divisibility questions in commutative algebraic groups ⋮ Rank 3 permutation modules of the finite classical groups. ⋮ Cross characteristic representations of symplectic and unitary groups

Cites Work

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• On the minimal degrees of projective representations of the finite Chevalley groups
• On the minimal degrees of projective representations of the finite Chevalley groups. II
• Finite Covers, Cohomology and Homogeneous Structures
• Some Representations of Classical Groups
• Linear Groups with Orders Having Certain Large Prime Divisors
• Minimal characters of the finite classical groups

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