Simple modules of exceptional groups with normal closures of maximal torus orbits.
DOI10.1134/S0001434612090179zbMath1258.20037arXiv1105.4577OpenAlexW1990685463MaRDI QIDQ1929785
I. I. Bogdanov, Karine Kuyumzhiyan
Publication date: 9 January 2013
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1105.4577
weightstoric varietiesorbitsirreducible representationsexceptional groupsmaximal torinormal varietiessimple rational modules
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)
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Cites Work
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- Toroidal embeddings. I
- Simple \(\text{SL}(n)\)-modules with normal closures of maximal torus orbits
- Simple modules of classical linear groups with normal closures of maximal torus orbits.
- Closures of torus orbits in adjoint representations of semisimple groups
- Equations Defining Toric Varieties
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