SLq(2,R) at roots of unity

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Ahmedov H., Dayi O.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, vol.32, no.10, pp.1895-1907, 1999 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 32 Issue: 10
• Publication Date: 1999
• Doi Number: 10.1088/0305-4470/32/10/008
• Journal Name: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.1895-1907
• Istanbul Technical University Affiliated: No

Abstract

The quantum group SLq(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 corresponding to the a type of the quantum algebra are constructed through the universal T-matrix. The irreducible representations corresponding to the A type are also found. An invariant integral on this quantum group is given. Endowed with that some properties like unitarity and orthogonality of the irreducible representations are discussed.