English

Comments on Drinfeld Realization of Quantum Affine Superalgebra $U_q[gl(m|n)^{(1)}]$ and its Hopf Algebra Structure

q-alg 2009-10-30 v4 Quantum Algebra

Abstract

By generalizing the Reshetikhin and Semenov-Tian-Shansky construction to supersymmetric cases, we obtain Drinfeld current realization for quantum affine superalgebra Uq[gl(mn)(1)]U_q[gl(m|n)^{(1)}]. We find a simple coproduct for the quantum current generators and establish the Hopf algebra structure of this super current algebra.

Keywords

Cite

@article{arxiv.q-alg/9703020,
  title  = {Comments on Drinfeld Realization of Quantum Affine Superalgebra $U_q[gl(m|n)^{(1)}]$ and its Hopf Algebra Structure},
  author = {Yao-Zhong Zhang},
  journal= {arXiv preprint arXiv:q-alg/9703020},
  year   = {2009}
}

Comments

Some errors and misprints corrected and a remark in section 4 removed. 12 pages, Latex file