Quantum Group Duality and the Cuntz Algebra

1997/05/27 by A. L. Carey, Carey, A. L., A. Paolucci +3
Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #q-alg

paper · pdf · doi:10.48550/arxiv.q-alg/9705020

AMS Latex, 17 pages

arxiv created 1997/05/27 · arxiv updated 2009/11/30

Abstract

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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