Mirković–Vilonen Polytopes and a Quiver Construction of Crystal Basis in Type A

DOI10.1093/imrn/rnr173zbMath1326.17015arXiv1010.0086OpenAlexW2964233673MaRDI QIDQ2917604

Yoshihisa Saito

Publication date: 1 October 2012

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

Full work available at URL: https://arxiv.org/abs/1010.0086

zbMATH Keywords

crystal basisPBW basisMV polytopesquantum universal enveloping algebraKashiwara operators

Mathematics Subject Classification ID

Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items (6)

A crystal embedding into Lusztig data of type \(A\) ⋮ Rigged configuration descriptions of the crystals B(∞) and B(λ) for special linear Lie algebras ⋮ Descriptions of crystal \(\mathsf{B}(\lambda)\) for \(E_6\) and \(E_7\) types via tableaux and Kashiwara embedding ⋮ Combinatorics of canonical bases revisited: type A ⋮ Quantum nilpotent subalgebras of classical quantum groups and affine crystals ⋮ An insight into the description of the crystal structure for Mirković-Vilonen polytopes

This page was built for publication: Mirković–Vilonen Polytopes and a Quiver Construction of Crystal Basis in Type A