Classification of U_q(sl_2)-module algebra structures on the quantum plane

Details Classification of U_q(sl_2)-module algebra structures on the quantum plane Classification of U_q(sl_2)-module algebra structures on the quantum plane

2009-05-12

arxiv.org/abs/0905.1719v3

Mathematics

Quantum Algebra

21 pages, amsart. The assumption 0<q<1 on deformation parameter is replaced by the less restrictive assumption that q is not a

Scientific paper

A complete list of Uq(sl2)-module algebra structures on the quantum plane is
produced and the (uncountable family of) isomorphism classes of these
structures are described. The composition series of representations in question
are computed. The classical limits of the Uq(sl2)-module algebra structures are
discussed.

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