Weil Representations as Globally Irreducible Representations

DOI10.1002/mana.19971840114zbMath0870.20007OpenAlexW2112394896MaRDI QIDQ3124242

Pham Hũ'u Tiêp

Publication date: 8 September 1997

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19971840114

zbMATH Keywords

finite groupsWeil representationsglobally irreducible representations

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Integral representations of finite groups (20C10) Representations of finite groups of Lie type (20C33) Quadratic forms (reduction theory, extreme forms, etc.) (11H55)

Related Items (15)

Basic spin representations of \(2\mathbb{S}_ n\) and \(2\mathbb{A}_ n\) as globally irreducible representations ⋮ A Family of Complex Irreducible Characters Possessed by Unitary and Special Unitary Groups Defined over Local Rings ⋮ Some generalizations of the Weil representations of the symplectic and unitary groups ⋮ Geometric construction of Heisenberg-Weil representations for finite unitary groups and Howe correspondences ⋮ Weil representations of unitary groups over ramified extensions of finite local rings with odd nilpotency length ⋮ Pieces of eight: semiselfdual lattices and a new foundation for the theory of Conway and Mathieu groups ⋮ Globally irreducible Weyl modules ⋮ Congruences for certain theta series ⋮ Weil representations of unitary groups ⋮ Weil representations of the symplectic group ⋮ Globally irreducible representations of \(\text{SL}_3(q)\) and \(\text{SU}_3(q)\) ⋮ Some aspects of finite linear groups: A survey ⋮ Finite groups over arithmetical rings and globally irreducible representations. ⋮ Cross characteristic representations of symplectic and unitary groups ⋮ Symplectic group lattices

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