Affine structures and a tableau model for \(E_{6}\) crystals
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Publication:618261
DOI10.1016/j.jalgebra.2010.07.041zbMath1206.81062arXiv0909.2442OpenAlexW2095732537MaRDI QIDQ618261
Anne Schilling, Brant C. Jones
Publication date: 14 January 2011
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0909.2442
Combinatorial aspects of representation theory (05E10) Quantum groups (quantized enveloping algebras) and related deformations (17B37)
Related Items (15)
Virtualization map for the Littelmann path model ⋮ Kirillov–Reshetikhin crystals B7,s for type E7(1) ⋮ Description of \(\mathsf {B}(\infty)\) through Kashiwara embedding for Lie algebra types \(E_6\) and \(E_7\) ⋮ Uniform description of the rigged configuration bijection ⋮ Crystal energy functions via the charge in types \(A\) and \(C\) ⋮ Quantum loop algebras and \(\ell\)-root operators ⋮ Descriptions of crystal \(\mathsf{B}(\lambda)\) for \(E_6\) and \(E_7\) types via tableaux and Kashiwara embedding ⋮ Kirillov-Reshetikhin crystals \(B^{1, s}\) for \(\widehat{\mathfrak{s}\mathfrak{l}}_n\) using Nakajima monomials ⋮ A crystal to rigged configuration bijection and the filling map for type \(D_4^{(3)}\) ⋮ Path description of type B \(q\)-characters ⋮ Young tableaux and crystal \(\mathcal B(\infty )\) for the exceptional Lie algebra types ⋮ A uniform approach to soliton cellular automata using rigged configurations ⋮ A combinatorial realization of Kirillov-Reshetikhin crystals for type E arising from translations ⋮ On higher level Kirillov-Reshetikhin crystals, Demazure crystals, and related uniform models ⋮ Crystal structure on rigged configurations and the filling map
Uses Software
Cites Work
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