Strip bundle realization of the crystals over U q (D 4 (3))

Jeong Ah Kim; Dong Uy Shin

doi:10.1063/5.0123954

Strip bundle realization of the crystals over U q (D 4 (3))

Jeong Ah Kim, Dong Uy Shin

Department of Mathematics

Hanyang University

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Article number	121701
Journal	Journal of Mathematical Physics
Volume	63
Issue number	12
DOIs	https://doi.org/10.1063/5.0123954
State	Published - 1 Dec 2022

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Strip bundle realization of the crystals over U q (D 4 (3))

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