Simple \(\text{SL}(n)\)-modules with normal closures of maximal torus orbits

DOI10.1007/s10801-009-0175-2zbMath1206.20049arXiv1009.4724OpenAlexW1995776928MaRDI QIDQ968239

Karine Kuyumzhiyan

Publication date: 5 May 2010

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.4724

zbMATH Keywords

toric varietiesnormalityorbitsirreducible representationssaturationmaximal torisimple rational modules

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 (2)

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

Cites Work

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• Introduction to Toric Varieties. (AM-131)
• Closures of torus orbits in adjoint representations of semisimple groups
• Equations Defining Toric Varieties
• Normality of torus orbit closures in \(G/P^1\)

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