SLq(2, ℝ) at roots of unity

Hadji Ahmedov; Ömer F. Dayi

doi:10.1088/0305-4470/32/10/008

SL_q(2, ℝ) at roots of unity

Hadji Ahmedov^*, Ömer F. Dayi

^*Corresponding author for this work

Department of Physics Engineering

Bogazici University

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

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 corresponding to the B 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.

Original language	English
Pages (from-to)	1895-1907
Number of pages	13
Journal	Journal of Physics A: Mathematical and General
Volume	32
Issue number	10
DOIs	https://doi.org/10.1088/0305-4470/32/10/008
Publication status	Published - 12 Mar 1999

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abstract = "The quantum group SLq(2, ℝ) at roots of unity is introduced by means of duality pairings with the quantum algebra Uq(sl(2, ℝ)). Its irreducible representations corresponding to the B 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.",

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N2 - The quantum group SLq(2, ℝ) at roots of unity is introduced by means of duality pairings with the quantum algebra Uq(sl(2, ℝ)). Its irreducible representations corresponding to the B 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.

AB - The quantum group SLq(2, ℝ) at roots of unity is introduced by means of duality pairings with the quantum algebra Uq(sl(2, ℝ)). Its irreducible representations corresponding to the B 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.

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SL_q(2, ℝ) at roots of unity

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