English

Symmetric quantum Weyl algebras

Quantum Algebra 2007-05-23 v4 High Energy Physics - Theory Quantum Physics

Abstract

We study the symmetric powers of four algebras: qq-oscillator algebra, qq-Weyl algebra, hh-Weyl algebra and U(sl2)U({\mathfrak {sl}}_2). We provide explicit formulae as well as combinatorial interpretation for the normal coordinates of products of arbitrary elements in the above algebras.

Keywords

Cite

@article{arxiv.math/0311128,
  title  = {Symmetric quantum Weyl algebras},
  author = {Rafael Diaz and Eddy Pariguan},
  journal= {arXiv preprint arXiv:math/0311128},
  year   = {2007}
}

Comments

To appear in the Annales Mathematiques Blaise Pascal