Combinatorial structure of Kirillov-Reshetikhin crystals of type \(D_n^{(1)}\), \(B_n^{(1)}\), \(A^{(2)}_{2n-1}\)
From MaRDI portal
Publication:926849
DOI10.1016/j.jalgebra.2007.10.020zbMath1201.17010arXiv0704.2046OpenAlexW2044121135MaRDI QIDQ926849
Publication date: 21 May 2008
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0704.2046
Related Items (11)
Kirillov-Reshetikhin crystals for nonexceptional types ⋮ Type \(D_n^{(1)}\) rigged configuration bijection ⋮ Realization of affine type \(A\) Kirillov-Reshetikhin crystals via polytopes ⋮ Affine structures and a tableau model for \(E_{6}\) crystals ⋮ Affine crystal structure on rigged configurations of type \(D_{n}^{(1)}\) ⋮ Affine crystals, one-dimensional sums and parabolic Lusztig \(q\)-analogues ⋮ Soliton cellular automaton associated with $D_n^{(1)}$Dn(1)-crystal B2,s ⋮ BOX-BASKET-BALL SYSTEMS ⋮ On multigraded generalizations of Kirillov-Reshetikhin modules ⋮ Existence of Kirillov–Reshetikhin crystals for nonexceptional types ⋮ Crystal structure on rigged configurations and the filling map
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Construction of perfect crystals conjecturally corresponding to Kirillov-Reshetikhin modules over twisted quantum affine algebras
- Demazure structure inside Kirillov-Reshetikhin crystals
- Existence of crystal bases for Kirillov-Reshetikhin modules of type \(D\)
- Perfect crystals of quantum affine Lie algebras
- Twisted quantum affine algebras
- Perfect crystals of \(U_q(G_2^{(1)})\)
- Level one perfect crystals for \(B_n^{(1)}\), \(C_n^{(1)}\), and \(D_n^{(1)}\)
- Crystal graphs for representations of the \(q\)-analogue of classical Lie algebras
- \(q\)-wedge modules for quantized enveloping algebras of classical type
- Affine type A crystal structure on tensor products of rectangles, Demazure characters, and nilpotent varieties
- MuPAD-Combinat, an open-source package for research in algebraic combinatorics
- On level-zero representation of quantized affine algebras.
- Perfect crystals for \(U_q(D_4^{(3)})\)
- Finite-dimensional crystals \(B^{2,s}\) for quantum affine algebras of type \(D^{(1)}_{n}\)
- Kirillov-Reshetikhin Conjecture: The General Case
- Level 1 perfect crystals and path realizations of basic representations at q = 0
- Level 0 Monomial Crystals
- Existence of Kirillov–Reshetikhin crystals for nonexceptional types
- AFFINE CRYSTALS AND VERTEX MODELS
- Tensor Product Structure of Affine Demazure Modules and Limit Constructions
This page was built for publication: Combinatorial structure of Kirillov-Reshetikhin crystals of type \(D_n^{(1)}\), \(B_n^{(1)}\), \(A^{(2)}_{2n-1}\)
