PBW-filtration over ℤ and Compatible Bases for V ℤ(λ) in Type A n and C n

DOI10.1007/978-1-4471-4863-0_3zbMath1323.17011arXiv1204.1854OpenAlexW12182686MaRDI QIDQ2842049

Peter Littelmann, Ghislain Fourier, Evgeny Feigin

Publication date: 31 July 2013

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.1854

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35)

Related Items (13)

Favourable modules: filtrations, polytopes, Newton-Okounkov bodies and flat degenerations ⋮ Marked poset polytopes: Minkowski sums, indecomposables, and unimodular equivalence ⋮ 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 ⋮ Nonsymmetric Macdonald polynomials and PBW filtration: towards the proof of the Cherednik-Orr conjecture ⋮ PBW degeneration: algebra, geometry, and combinatorics ⋮ Degenerate coordinate rings of flag varieties and Frobenius splitting ⋮ Minuscule Schubert varieties: poset polytopes, PBW-degenerated Demazure modules, and Kogan faces ⋮ Extremal part of the PBW-filtration and nonsymmetric Macdonald polynomials ⋮ Marked chain-order polytopes ⋮ Nonsymmetric difference Whittaker functions

This page was built for publication: PBW-filtration over ℤ and Compatible Bases for V ℤ(λ) in Type A n and C n