Standard parabolic subsets of highest weight modules

DOI10.1090/tran/6710zbMath1415.17008arXiv1409.4133OpenAlexW2035355677MaRDI QIDQ2951905

Apoorva Khare

Publication date: 10 January 2017

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

Full work available at URL: https://arxiv.org/abs/1409.4133

zbMATH Keywords

inclusion relationsparabolic Verma moduleWeyl polytopehighest weight module\(f\)-polynomialface mapstandard parabolic subset

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Simple, semisimple, reductive (super)algebras (17B20) Symmetry properties of polytopes (52B15)

Related Items (4)

Faces and maximizer subsets of highest weight modules ⋮ Faces of highest weight modules and the universal Weyl polyhedron ⋮ Gorenstein Fano generic torus orbit closures in G/P ⋮ Coxeter submodular functions and deformations of Coxeter permutahedra

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