A generalization of adjoint crystals for the quantized affine algebras of type \(A^{(1)}_n\), \(C^{(1)}_n\) and \(D^{(2)}_{n+1}\)
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Publication:968237
DOI10.1007/s10801-009-0174-3zbMath1264.17011arXiv0802.3964OpenAlexW2029376886MaRDI QIDQ968237
Publication date: 5 May 2010
Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0802.3964
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)
Related Items (3)
Affine structures and a tableau model for \(E_{6}\) crystals ⋮ Uniform description of the rigged configuration bijection ⋮ Quiver Varieties and Adjoint Crystals of Level ℓ for TypeAn(1)
Cites Work
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- Affine type A crystal structure on tensor products of rectangles, Demazure characters, and nilpotent varieties
- 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
- Existence of Kirillov–Reshetikhin crystals for nonexceptional types
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