Coefficient algebra of the minimal representation of the elliptic quantum group

Citation
Kj. Shi et al., Coefficient algebra of the minimal representation of the elliptic quantum group, HIGH EN P N, 25(7), 2001, pp. 628-635
Citations number
15
Categorie Soggetti
Physics
Journal title
HIGH ENERGY PHYSICS AND NUCLEAR PHYSICS-CHINESE EDITION
ISSN journal
02543052 → ACNP
Volume
25
Issue
7
Year of publication
2001
Pages
628 - 635
Database
ISI
SICI code
0254-3052(200107)25:7<628:CAOTMR>2.0.ZU;2-T
Abstract
The algebra of the coefficients in the minimal representation of the A(n-1) quantum group, discussed by Felder and Varchenko, is given in this paper. Those coefficients are associated with the Boltzmann weights of A(n-1)((1)) interaction-round-a-face model. We show that the algebra satisfies the Yan g-Baxter equation. The PBW base for this algebra is also given.