Quantum Group Duality and the Cuntz Algebra

Details Quantum Group Duality and the Cuntz Algebra Quantum Group Duality and the Cuntz Algebra

1997-05-27

arxiv.org/abs/q-alg/9705020v1

Mathematics

Quantum Algebra

AMS Latex, 17 pages

Scientific paper

The Cuntz algebra carries in a natural way the structure of a module algebra
over the quantized universal enveloping algebra $U_q(g)$, and the structure of
a co-module algebra over the quantum group $G_q$ associated with $U_q(g)$.
These two algebraic structures are dual to each other via the duality between
$G_q$ and $U_q(g)$.

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