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Strip bundle realization of the crystals over U q (D 4 (3))
- Authors
- Kim, Jeong-Ah; Shin, Dong-Uy
- Issue Date
- Dec-2022
- Publisher
- American Institute of Physics Inc.
- Citation
- Journal of Mathematical Physics, v.63, no.12, pp.1 - 14
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Mathematical Physics
- Volume
- 63
- Number
- 12
- Start Page
- 1
- End Page
- 14
- ISSN
- 0022-2488
- Abstract
- We introduce new combinatorial models called strip bundles for the quantum affine algebra Uq(D4(3)) and give new realizations of the crystal B(∞) and the highest weight crystals B(λ) over Uq(D4(3)) in terms of strip bundles. In these strip bundle realizations, the highest weight crystal B(Λ1) of the natural representation V(Λ1) over the quantum finite algebra Uq(G2) plays a crucial role.
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Related Researcher
- Shin, Dong Uy
- COLLEGE OF EDUCATION (DEPARTMENT OF MATHEMATICS EDUCATION)