SL_q(2,R) at Roots of Unity

Details SL_q(2,R) at Roots of Unity SL_q(2,R) at Roots of Unity

1998-09-10

arxiv.org/abs/math/9809052v2

J. Phys. A 32 (1999) 1895.

Mathematics

Quantum Algebra

17 pages. Some misprints corrected

Scientific paper

10.1088/0305-4470/32/10/008

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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