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Root Polytopes and Borel Subalgebras

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Publication:5500435
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DOI10.1093/imrn/rnu070zbMath1337.17011arXiv1203.0756OpenAlexW2054374453MaRDI QIDQ5500435

Mario Marietti, Paola Cellini

Publication date: 6 August 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.0756



Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Simple, semisimple, reductive (super)algebras (17B20) Root systems (17B22)


Related Items (11)

Faces and maximizer subsets of highest weight modules ⋮ Triangulations of root polytopes ⋮ Faces of highest weight modules and the universal Weyl polyhedron ⋮ Standard parabolic subsets of highest weight modules ⋮ PARABOLIC SUBROOT SYSTEMS AND THEIR APPLICATIONS ⋮ Gorenstein Fano generic torus orbit closures in G/P ⋮ Root polytopes and abelian ideals ⋮ Root systems, affine subspaces, and projections ⋮ Root polytope and partitions ⋮ A positive formula for the Ehrhart-like polynomials from root system chip-firing ⋮ Faces of Root Polytopes




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