English

On the algebra A_{\hbar,\eta}(osp(2|2)^{(2)}) and free boson representations

Quantum Algebra 2009-10-31 v1

Abstract

A two-parameter quantum deformation of the affine Lie super algebra osp(22)(2)osp(2|2)^{(2)} is introduced and studied in some detail. This algebra is the first example associated with nonsimply-laced and twisted root systems of a quantum current algebra with the structure of a so-called infinite Hopf family of (super)algebras. A representation of this algebra at c=1c=1 is realized in the product Fock space of two commuting sets of Heisenberg algebras.

Keywords

Cite

@article{arxiv.math/0010050,
  title  = {On the algebra A_{\hbar,\eta}(osp(2|2)^{(2)}) and free boson representations},
  author = {N MacKay and L Zhao},
  journal= {arXiv preprint arXiv:math/0010050},
  year   = {2009}
}

Comments

14 pages, LaTeX