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arXiv · 1410.8074

Generic symmetries of the Laurent extension of quantum plane

Sergey D. Sinel'shchikov
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Abstract

A list of generic $U_q(sl_2)$-module algebra structures on the Laurent polynomial algebra over the quantum plane with uncountably many isomorphism classes is produced. Also, a complete list of such structures is presented in which the action of Cartan generator of $U_q(sl_2)$ does not reduce to multiplying x and y (the generators of quantum plane) by constants.

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Sergey D. Sinel'shchikov. 2014-10-29. Generic symmetries of the Laurent extension of quantum plane. https://arxiv.org/abs/1410.8074

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