English

Quantum Heisenberg--Weyl Algebras

q-alg 2009-10-30 v1 Quantum Algebra

Abstract

All Lie bialgebra structures on the Heisenberg--Weyl algebra [A+,A]=M[A_+,A_-]=M are classified and explicitly quantized. The complete list of quantum Heisenberg--Weyl algebras so obtained includes new multiparameter deformations, most of them being of the non-coboundary type.

Keywords

Cite

@article{arxiv.q-alg/9610007,
  title  = {Quantum Heisenberg--Weyl Algebras},
  author = {Angel Ballesteros and Francisco J. Herranz and Preeti Parashar},
  journal= {arXiv preprint arXiv:q-alg/9610007},
  year   = {2009}
}

Comments

8 pages, LaTeX

R2 v1 2026-07-22T19:21:29.348Z