Polyhedral realizations for crystal bases of integrable highest weight modules and combinatorial objects of type $$\textrm{A}^{(1)}_{n-1}$$, $$\textrm{C}^{(1)}_{n-1}$$, $$\textrm{A}^{(2)}_{2n-2}$$, $$\textrm{D}^{(2)}

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Polyhedral realizations for crystal bases of integrable highest weight modules and combinatorial objects of type $$\textrm{A}^{(1)}_{n-1}$$, $$\textrm{C}^{(1)}_{n-1}$$, $$\textrm{A}^{(2)}_{2n-2}$$, $$\textrm{D}^{(2)}_{n}$$

Published:2023-05-28 Issue:3 Volume:113 Page:
ISSN:1573-0530
Container-title:Letters in Mathematical Physics
language:en
Short-container-title:Lett Math Phys

Author:

Kanakubo Yuki^ORCID

Funder

Japan Society for the Promotion of Science

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://link.springer.com/content/pdf/10.1007/s11005-023-01680-0.pdf

Reference27 articles.

1. Berenstein, A., Zelevinsky, A.: Tensor product multiplicities, canonical bases and totally positive varieties. Invent. Math. 143(1), 77–128 (2001)

2. Genz, V., Koshevoy, G., Schumann, B.: Combinatorics of canonical bases revisited: type A. Sel. Math. (N.S.) 27(4), 67,45 (2021)

3. Gleizer, O., Postnikov, A.: Littlewood–Richardson coefficients via Yang–Baxter equation. Int. Math. Res. Not. 14, 741–774 (2000)

4. Hayashi, T.: $$Q$$-analogues of Clifford and Weyl algebras-spinor and oscillator representations of quantum enveloping algebras. Commun. Math. Phys. 127(1), 129–144 (1990)

5. Hernandez, D., Nakajima, H.: Level 0 monomial crystals. Nagoya Math. J. 184, 85–153 (2006)

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