A computer oriented algorithm for the determination of the dimension and character of a modular irreducible SL(n,K)-module

DOI10.1016/S0747-7171(89)80047-1zbMath0678.20024MaRDI QIDQ1123979

Marilena Pittaluga, Elisabetta Strickland

Publication date: 1989

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

zbMATH Keywords

algorithmcharactersdimensionsirreducible SL(n,k)-modulesrepresentation theory of algebraic groups

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Software, source code, etc. for problems pertaining to group theory (20-04)

Cites Work

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• Symplectic standard tableaux
• Letter place algebras and a characteristic-free approach to the representation theory of the general linear and symmetric groups. I
• Young diagrams and determinantal varieties
• A characteristic free approach to invariant theory
• On the Foundations of Combinatorial Theory: IX Combinatorial Methods in Invariant Theory
• Geometry of 𝐺/𝑃

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