Polyhedral realizations for crystal bases of integrable highest weight modules and combinatorial objects of type \(\mathrm{A}^{(1)}_{n-1}, \mathrm{C}^{(1)}_{n-1}, \mathrm{A}^{(2)}_{2n-2}, \mathrm{D}^{(2)}_n\)
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Publication:6113200
DOI10.1007/s11005-023-01680-0zbMath1528.17009arXiv2301.05800MaRDI QIDQ6113200
Publication date: 10 July 2023
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2301.05800
Cites Work
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- Q-analogues of Clifford and Weyl algebras - spinor and oscillator representations of quantum enveloping algebras
- Cones, crystals, and patterns
- Combinatorics of representations of \(U_ q (\widehat{\mathfrak sl}(n))\) at \(q=0\)
- On crystal bases of the \(q\)-analogue of universal enveloping algebras
- Fock space representations of the quantized universal enveloping algebras \(U_ q(C^{(1)}_ l)\), \(U_ q(A^{(2)}_{2l})\), and \(U_ q(D^{(2)}_{l+1})\)
- Polyhedral realizations of crystal bases for integrable highest weight modules
- The crystal base and Littelmann's refined Demazure character formula
- Crystal graphs for representations of the \(q\)-analogue of classical Lie algebras
- Polyhedral realizations of crystal bases for quantized Kac-Moody algebras
- Tensor product multiplicities, canonical and totally positive varieties
- Paths and root operators in representation theory
- Adapted sequences and polyhedral realizations of crystal bases for highest weight modules
- Combinatorics of canonical bases revisited: type A
- Crystal bases of the Fock space representations and string functions
- Monomial realization of crystal bases \(B(\infty)\) for the quantum finite algebras
- Crystalizing the q-analogue of universal enveloping algebras
- Polyhedral realizations of crystal bases for quantum algebras of finite types
- Level 0 Monomial Crystals
- Canonical Bases Arising from Quantized Enveloping Algebras
- CRYSTAL BASES FOR QUANTUM AFFINE ALGEBRAS AND COMBINATORICS OF YOUNG WALLS
- Adapted sequence for polyhedral realization of crystal bases
- Polyhedral realizations of crystal bases B(λ) for quantum algebras of nonexceptional affine types
- Polyhedral realizations of crystal bases for quantum algebras of classical affine types
- Polyhedral realizations for \(B(\infty)\) and extended Young diagrams, Young walls of type \(\mathrm{A}^{(1)}_{n-1}\), \(\mathrm{C}^{(1)}_{n-1}\), \(\mathrm{A}^{(2)}_{2n-2}\), \(\mathrm{D}^{(2)}_n\)
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