Construction of p −1 Irreducible Modules with Fundamental Highest Weight for the Symplectic Group in Characteristic p

DOI10.1112/S002461079800667XzbMath0974.20032MaRDI QIDQ4265461

Roderick Gow

Publication date: 3 September 2001

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

symplectic groupsirreducible modulesexterior algebrasdimension formulas

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Representations of finite groups of Lie type (20C33)

Related Items (5)

An application of TQFT to modular representation theory ⋮ Irreducible factors of modular representations of mapping class groups arising in integral TQFT ⋮ Dimension formulas for some modular representations of the symplectic group in the natural characteristic. ⋮ On the doubly transitive permutation representations of \(\text{Sp}(2n,\mathbb{F}_2)\). ⋮ Character formulas of irreducible representations of the symplectic group in prime characteristic

This page was built for publication: Construction of p −1 Irreducible Modules with Fundamental Highest Weight for the Symplectic Group in Characteristic p