Degenerate flag varieties and Schubert varieties: a characteristic free approach

DOI10.2140/pjm.2016.284.283zbMath1433.17008arXiv1502.04590OpenAlexW3104149464MaRDI QIDQ310908

Giovanni Cerulli Irelli, Martina Lanini, Peter Littelmann

Publication date: 9 September 2016

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.04590

zbMATH Keywords

Schubert varietiesDemazure modulesdegenerate flag varieties

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representation theory for linear algebraic groups (20G05) Grassmannians, Schubert varieties, flag manifolds (14M15) Linear algebraic groups over global fields and their integers (20G30) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (14)

Favourable modules: filtrations, polytopes, Newton-Okounkov bodies and flat degenerations ⋮ Linear degenerations of flag varieties ⋮ Symmetric Dellac configurations and symplectic/orthogonal flag varieties ⋮ PBW degenerations, quiver Grassmannians, and toric varieties ⋮ PBW-degenerated Demazure modules and Schubert varieties for triangular elements ⋮ PBW-type filtration on quantum groups of type \(A_{n}\) ⋮ The degree of the Hilbert-Poincaré polynomial of PBW-graded modules ⋮ Schubert quiver Grassmannians ⋮ PBW degeneration: algebra, geometry, and combinatorics ⋮ Symmetric Dellac configurations ⋮ Marked chain-order polytopes ⋮ Three lectures on quiver Grassmannians ⋮ Degenerate Schubert varieties in type A ⋮ Cohomology of the flag variety under PBW degenerations

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