Faces of weight polytopes and a generalization of a theorem of Vinberg

DOI10.1007/s10468-010-9261-3zbMath1245.17005arXiv1005.1114OpenAlexW1981466686MaRDI QIDQ418107

Tim Ridenour, Apoorva Khare

Publication date: 24 May 2012

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.1114

zbMATH Keywords

polyhedrongeneralized Verma modulepositive weak \(\mathbb F\)-faceweak \(\mathbb F\)-face

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (5)

Faces and maximizer subsets of highest weight modules ⋮ Standard parabolic subsets of highest weight modules ⋮ Weak faces and a formula for weights of highest weight modules via parabolic partial sum property for roots ⋮ Root polytope and partitions ⋮ On multigraded generalizations of Kirillov-Reshetikhin modules

Cites Work

• Faces of polytopes and Koszul algebras
• A family of Koszul algebras arising from finite-dimensional representations of simple Lie algebras
• Kac-Moody groups, their flag varieties and representation theory
• ON CERTAIN COMMUTATIVE SUBALGEBRAS OF A UNIVERSAL ENVELOPING ALGEBRA
• Ideals in Parabolic Subalgebras of Simple Lie Algebras
• Lectures on Polytopes
• Introduction to Lie Algebras and Representation Theory

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