Crystal bases of the Fock space representations and string functions
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Publication:2386039
DOI10.1016/j.jalgebra.2004.04.013zbMath1137.17304arXivmath/0403105OpenAlexW2005821387MaRDI QIDQ2386039
Publication date: 22 August 2005
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0403105
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Related Items (15)
Ramanujan-type congruences for overpartitions modulo 16 ⋮ Overpartition pairs ⋮ An overpartition analogue of partitions with bounded differences between largest and smallest parts ⋮ Finite difference of the overpartition function ⋮ Polyhedral realizations for \(B(\infty)\) and extended Young diagrams, Young walls of type \(\mathrm{A}^{(1)}_{n-1}\), \(\mathrm{C}^{(1)}_{n-1}\), \(\mathrm{A}^{(2)}_{2n-2}\), \(\mathrm{D}^{(2)}_n\) ⋮ Polyhedral realizations for crystal bases of integrable highest weight modules and combinatorial objects of type \(\mathrm{A}^{(1)}_{n-1}, \mathrm{C}^{(1)}_{n-1}, \mathrm{A}^{(2)}_{2n-2}, \mathrm{D}^{(2)}_n\) ⋮ Overpartitions and Bressoud's conjecture. II ⋮ Affine crystal graphs and two-colored partitions ⋮ The Andrews-Olsson identity and Bessenrodt insertion algorithm on Young walls ⋮ OVERPARTITIONS RELATED TO THE MOCK THETA FUNCTION ⋮ Ramanujan-type congruences for overpartitions modulo 5 ⋮ Overpartitions, lattice paths, and Rogers-Ramanujan identities ⋮ Raising/Lowering Maps and Modules for the Quantum Affine Algebra ⋮ Euler characteristics of Hilbert schemes of points on simple surface singularities ⋮ Young Walls and Equivariant Hilbert Schemes of Points in Type D
Cites Work
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- Perfect crystals and \(q\)-deformed Fock spaces
- Crystal base for the basic representation of \(U_ q({\mathfrak sl}^\wedge (n))\)
- FOCK SPACE REPRESENTATIONS OF QUANTUM AFFINE ALGEBRAS AND GENERALIZED LASCOUX-LECLERC-THIBON ALGORITHM
- CRYSTAL BASES FOR QUANTUM AFFINE ALGEBRAS AND COMBINATORICS OF YOUNG WALLS
- Overpartitions
- Quantum affine algebras, combinatorics of Young walls, and global bases
- Basic representations of A2l(2)and Dl+1(2)and the polynomial solutions to the reduced BKP hierarchies
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