Promotion operator on rigged configurations of type \(A\)

zbMath1193.05162arXiv0908.2458MaRDI QIDQ2380456

Qiang Wang, Anne Schilling

Publication date: 26 March 2010

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.2458

zbMATH Keywords

crystal structurepromotion operator

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Exactly solvable models; Bethe ansatz (82B23)

Related Items (11)

Rigged configurations and the \(\ast\)-involution ⋮ Higher order Kirillov-Reshetikhin modules for \(\mathbf{U}_q(A_{n}^{(1)})\), imaginary modules and monoidal categorification ⋮ Uniform description of the rigged configuration bijection ⋮ A crystal to rigged configuration bijection and the filling map for type \(D_4^{(3)}\) ⋮ Affine crystal structure on rigged configurations of type \(D_{n}^{(1)}\) ⋮ A uniform approach to soliton cellular automata using rigged configurations ⋮ Using rigged configurations to model \(B(\infty)\) ⋮ Rigged configuration bijection and proof of the \(X = M\) conjecture for nonexceptional affine types ⋮ On higher level Kirillov-Reshetikhin crystals, Demazure crystals, and related uniform models ⋮ Crystal structure on rigged configurations and the filling map ⋮ A rigged configuration model for \(B(\infty)\)

Uses Software

• SageMath

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