SLq(2,R) at Roots of Unity
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 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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