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??? |
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頁(從 - 到) | 6529-6543 |
頁數 | 15 |
期刊 | Journal of Mathematical Physics |
卷 | 41 |
發行號 | 9 |
DOIs | |
出版狀態 | 已出版 - 9月 2000 |