English

Generic symmetries of the Laurent extension of quantum plane

Quantum Algebra 2014-10-30 v1

Abstract

A list of generic Uq(sl2)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 Uq(sl2)U_q(sl_2) does not reduce to multiplying x and y (the generators of quantum plane) by constants.

Keywords

Cite

@article{arxiv.1410.8074,
  title  = {Generic symmetries of the Laurent extension of quantum plane},
  author = {Sergey D. Sinel'shchikov},
  journal= {arXiv preprint arXiv:1410.8074},
  year   = {2014}
}

Comments

21 pages