R-matrix Approach to Quantum Superalgebras su_{q}(m|n)

Abstract

Quantum superalgebras $s{u}_q(m\mid n)$ are studied in the framework of $R$-matrix formalism. Explicit parametrization of $L^{(+)}$ and $L^{(-)}$ matrices in terms of $s{u}_q(m\mid n)$ generators are presented. We also show that quantum deformation of nonsimple superalgebra $su(n\mid n)$ requires its extension to $u(n\mid n)$.

14 pages

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