Colored solutions of the Yang-Baxter equation from representations of Uqgl(2)

Pi Gang Luan, H. C. Lee, R. B. Zhang

Research output: Contribution to journalArticlepeer-review

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Abstract

We study the Hopf algebra structure and the highest weight representation of a multiparameter version of Uqgl(2). The Hopf algebra maps of this algebra are explicitly given. We show that the multiparameter universal R matrix can be constructed directly as a quantum double intertwiner without using Reshetikhin's twisting transformation. We find there are two types highest weight representations for this algebra: type a corresponds to the qeneric q and type b corresponds to the case that q is a root of unity. When applying the representation theory to the multi-parameter universal R matrix, both standard and nonstandard colored solutions of the Yang-Baxter equation are obtained.

Original languageEnglish
Pages (from-to)6529-6543
Number of pages15
JournalJournal of Mathematical Physics
Volume41
Issue number9
DOIs
StatePublished - Sep 2000

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