Simple modules of classical linear groups with normal closures of maximal torus orbits.

DOI10.1134/S0037446612060122zbMath1263.20042OpenAlexW2039751612MaRDI QIDQ1935744

Karine Kuyumzhiyan

Publication date: 19 February 2013

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

Full work available at URL: https://doi.org/10.1134/s0037446612060122

zbMATH Keywords

weightstoric varietiesnormalityorbitsclassical groupsirreducible representationsmaximal torinormal varietiessimple rational modulesweight decompositionsclassical root systems

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Homogeneous spaces and generalizations (14M17) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Representation theory for linear algebraic groups (20G05) Group actions on varieties or schemes (quotients) (14L30)

Related Items

Simple modules of exceptional groups with normal closures of maximal torus orbits.

Cites Work

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