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

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

研究成果: 雜誌貢獻期刊論文同行評審

1 引文 斯高帕斯(Scopus)

摘要

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.

原文???core.languages.en_GB???
頁(從 - 到)6529-6543
頁數15
期刊Journal of Mathematical Physics
41
發行號9
DOIs
出版狀態已出版 - 9月 2000

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