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Mathematics  2001 

The properties of the quantum supergroup $GL_{p,q}(1|1)$

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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.


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