## Abstract

The general formula is obtained for R-matrices of s-circumflexl{sub q}(2,C) for the highest weight representations both for general q and for q being a root of unity by generalizing G. Gomez`s and Sierra`s one for semiperiodic representations of s-circumflexl{sub q}(2,C) at roots of unity. In a case of general q, direct matrix form is obtained for the well known Jimbo`s R-matrix. In a case of q{sup N}=1 for semiperiodic and spin j<(N-1)/2 representations the new R-matrices are obtained which together with Jimbo`s one obey the spectral parameter dependent Yang-Baxter equations. (author) 16 refs.

## Citation Formats

Hakobyan, T S, and Sedrakyan, A G.
R-matrices for highest weight representations of s-circumflexl{sub q}(2,C) at roots of unity.
France: N. p.,
1992.
Web.

Hakobyan, T S, & Sedrakyan, A G.
R-matrices for highest weight representations of s-circumflexl{sub q}(2,C) at roots of unity.
France.

Hakobyan, T S, and Sedrakyan, A G.
1992.
"R-matrices for highest weight representations of s-circumflexl{sub q}(2,C) at roots of unity."
France.

@misc{etde_10109829,

title = {R-matrices for highest weight representations of s-circumflexl{sub q}(2,C) at roots of unity}

author = {Hakobyan, T S, and Sedrakyan, A G}

abstractNote = {The general formula is obtained for R-matrices of s-circumflexl{sub q}(2,C) for the highest weight representations both for general q and for q being a root of unity by generalizing G. Gomez`s and Sierra`s one for semiperiodic representations of s-circumflexl{sub q}(2,C) at roots of unity. In a case of general q, direct matrix form is obtained for the well known Jimbo`s R-matrix. In a case of q{sup N}=1 for semiperiodic and spin j<(N-1)/2 representations the new R-matrices are obtained which together with Jimbo`s one obey the spectral parameter dependent Yang-Baxter equations. (author) 16 refs.}

place = {France}

year = {1992}

month = {Oct}

}

title = {R-matrices for highest weight representations of s-circumflexl{sub q}(2,C) at roots of unity}

author = {Hakobyan, T S, and Sedrakyan, A G}

abstractNote = {The general formula is obtained for R-matrices of s-circumflexl{sub q}(2,C) for the highest weight representations both for general q and for q being a root of unity by generalizing G. Gomez`s and Sierra`s one for semiperiodic representations of s-circumflexl{sub q}(2,C) at roots of unity. In a case of general q, direct matrix form is obtained for the well known Jimbo`s R-matrix. In a case of q{sup N}=1 for semiperiodic and spin j<(N-1)/2 representations the new R-matrices are obtained which together with Jimbo`s one obey the spectral parameter dependent Yang-Baxter equations. (author) 16 refs.}

place = {France}

year = {1992}

month = {Oct}

}