English

A central extension of U_q sl(2,2)^{(1)} and R-matrices with a new parameter

Quantum Algebra 2015-06-26 v4 Representation Theory

Abstract

In this paper, using a quantum superalgebra associated with the universal central extension of sl(2,2)^{(1)}, we introduce new R-matrices having an extra parameter x. As x\to 0, they become those associated with the symmetric and anti-symmetric tensor products of the copies of the vector representation of U_q sl(2,2)^{(1)}.

Keywords

Cite

@article{arxiv.math/0304406,
  title  = {A central extension of U_q sl(2,2)^{(1)} and R-matrices with a new parameter},
  author = {Hiroyuki Yamane},
  journal= {arXiv preprint arXiv:math/0304406},
  year   = {2015}
}

Comments

18 pages, latex, v2.2 references added