%0 Journal Article %T The properties of the quantum supergroup $GL_{p,q}(1|1)$ %A Salih Celik %A Sultan A. Celik %J Mathematics %D 2001 %I arXiv %X In this paper properties of the quantum supermatrices in the quantum supergroup $GL_{p,q}(1|1)$ are discussed. It is shown that any element of $GL_{p,q}(1|1)$ can be expressed as the exponential of a matrix of non-commuting elements, like the group $GL_q(1|1)$. An explicit construction of this exponential representation is presented. %U http://arxiv.org/abs/math/0112138v1