PBW-degenerated Demazure modules and Schubert varieties for triangular elements

DOI10.1016/j.jcta.2015.12.001zbMath1364.17009arXiv1408.6939OpenAlexW1568731243MaRDI QIDQ899494

Ghislain Fourier

Publication date: 28 December 2015

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.6939

zbMATH Keywords

Schubert varietyPBW filtrationDemazure moduletoric degeneration

Mathematics Subject Classification ID

Related Items (16)

PBW degenerate Schubert varieties: Cartan components and counterexamples ⋮ Homogeneous bases for Demazure modules ⋮ PBW degenerations of Lie superalgebras and their typical representations ⋮ The PBW filtration and convex polytopes in type B ⋮ Favourable modules: filtrations, polytopes, Newton-Okounkov bodies and flat degenerations ⋮ Linear degenerations of flag varieties ⋮ Marked poset polytopes: Minkowski sums, indecomposables, and unimodular equivalence ⋮ Two Double Poset Polytopes ⋮ PBW filtration and monomial bases for Demazure modules in types A and C ⋮ Linear degenerations of flag varieties: partial flags, defining equations, and group actions ⋮ PBW-type filtration on quantum groups of type \(A_{n}\) ⋮ The degree of the Hilbert-Poincaré polynomial of PBW-graded modules ⋮ Essential bases and toric degenerations arising from birational sequences ⋮ Minuscule Schubert varieties: poset polytopes, PBW-degenerated Demazure modules, and Kogan faces ⋮ Marked chain-order polytopes ⋮ Degenerate Schubert varieties in type A

Uses Software

• polymake

Cites Work

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