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SL_q(2,R) at Roots of Unity

H. Ahmedov·O. F. Dayi
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Abstract

The quantum group SL_q(2,R) at roots of unity is introduced by means of duality pairings with the quantum algebra U_q(sl(2,R)). Its irreducible representations are constructed through the universal T-matrix. An invariant integral on this quantum group is given. Endowed with that some properties like unitarity and orthogonality of the irreducible representations are discussed.

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BibTeXRIS

H. Ahmedov, O. F. Dayi. 1999-08-03. SL_q(2,R) at Roots of Unity. https://doi.org/10.1088/0305-4470%2F32%2F10%2F008

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