CONSTRUCTION OF GENERAL COLORED R MATRICES FOR THE YANG-BAXTER EQUATION AND q-BOSON REALIZATION OF QUANTUM ALGEBRA slq(2) WHEN q IS A ROOT OF UNITY
1992 ◽
Vol 07
(26)
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pp. 6609-6622
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Keyword(s):
R Matrix
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Through a general q-boson realization of quantum algebra sl q(2) and its universal R matrix an operator R matrix with many parameters is obtained in terms of q-boson operators. Building finite-dimensional representations of q-boson algebra, we construct various colored R matrices associated with nongeneric representations of sl q(2) with dimension-independent parameters. The “nonstandard” R matrices obtained by Lee-Couture and Murakami are their special examples. We also study the factorizable structure of some Rmatrices for the indecomposable representations used in its construction.