Regular Representation of the Quantum Heisenberg Double $U_q(sl(2))$, $Fun_{q}(SL(2))$ ($q$ is a root of unity)

Details Regular Representation of the Quantum Heisenberg Double $U_q(sl(2))$, $Fun_{q}(SL(2))$ ($q$ is a root of unity) Regular Representation of the Quantum Heisenberg Double $U_q(sl(2))$, $Fun_{q}(SL(2))$ ($q$ is a root of unity)

1993-11-12

arxiv.org/abs/hep-th/9311075v1

Physics

High Energy Physics

High Energy Physics - Theory

UUITP-- 27/1993

Scientific paper

Pairing between the universal enveloping algebra $U_q(sl(2))$ and the algebra
of functions over $SL_q(2)$ is obtained in explicit terms. The regular
representation of the quantum double is constructed and investigated. The
structure of the root subspaces of the Casimir operator is revealed and
described in terms of $SL_q(2)$ elements.

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