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Spectral-parameter dependent Yang-Baxter operators and Yang-Baxter systems from algebra structures
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Nichita, Florin F. and Parashar, Deepak (2006) Spectral-parameter dependent Yang-Baxter operators and Yang-Baxter systems from algebra structures. COMMUNICATIONS IN ALGEBRA, 34 (8). pp. 2713-2726. doi:10.1080/00927870600651661 ISSN 0092-7872.
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Official URL: http://dx.doi.org/10.1080/00927870600651661
Abstract
For any algebra, two families of colored Yang-Baxter operators are constructed, thus producing solutions to the two-parameter quantum Yang-Baxter equation. An open problem about a system of functional equations is stated. The matrix forms of these operators for two and three dimensional algebras are computed. A FRT bialgebra for one of these families is presented. Solutions for the one-parameter quantum Yang-Baxter equation are derived and a Yang-Baxter system constructed.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | COMMUNICATIONS IN ALGEBRA | ||||
Publisher: | TAYLOR & FRANCIS INC | ||||
ISSN: | 0092-7872 | ||||
Official Date: | 2006 | ||||
Dates: |
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Volume: | 34 | ||||
Number: | 8 | ||||
Number of Pages: | 14 | ||||
Page Range: | pp. 2713-2726 | ||||
DOI: | 10.1080/00927870600651661 | ||||
Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
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