Generic symmetries of the Laurent extension of quantum plane

الأصل · EN

A list of generic Uq(sl₂)-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 Uq(sl₂) does not reduce to multiplying x and y (the generators of quantum plane) by constants.