On symmetries of a quantum plane and its Laurent extension
DOI:
https://doi.org/10.15407/dopovidi2014.11.022Keywords:
Laurent polynomial algebra, quantum planeAbstract
The structures of the Uq(sl2)-module algebra on the Laurent polynomial algebra over a quantum plane are considered. We establish a natural one-to-one correspondence between such structures and similar structures on the subalgebra of regular polynomials. A complete list of the above structures corresponding to the non-identity matrices from SL(2,Z) is presented.
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