Affinization of q-oscillator representations of $$U_q(\mathfrak {gl}

Affinization of q-oscillator representations of $$U_q(\mathfrak {gl}_n)$$

Published:2023-05-27 Issue:3 Volume:113 Page:
ISSN:1573-0530
Container-title:Letters in Mathematical Physics
language:en
Short-container-title:Lett Math Phys

Author:

Kwon Jae-Hoon,Lee Sin-Myung^ORCID

Funder

Ministry of Science and ICT, South Korea

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://link.springer.com/content/pdf/10.1007/s11005-023-01675-x.pdf

Reference39 articles.

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2. Benkart, G., Kang, S.-J., Kashiwara, M.: Crystal bases for the quantum superalgebra $$U_q(\mathfrak{gl} (m, n))$$. J. Am. Math. Soc. 13, 295–331 (2000)

3. Boos, H., Göhmann, F., Klümper, A., Nirov, K.S., Razumov, A.V.: Oscillator versus prefundamental representations. J. Math. Phys. 57, 111702 (2016)

4. Boos, H., Göhmann, F., Klümper, A., Nirov, K.S., Razumov, A.V.: Oscillator versus prefundamental representations II. Arbitrary higher ranks. J. Math. Phys. 58, 093504 (2017)

5. Chari, V., Pressley, A.: Quantum affine algebras and their representations. In: Representations of GBanff, AB,: CMS Conference Proceedings, Vol 16, pp. 59–78. American Mathematical Society, Providence, RI (1994)

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