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

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

2001-12-13

arxiv.org/abs/math/0112138v1

Balkan Phys. Lett. 1 (1997), 32-41

Mathematics

Quantum Algebra

12 pages

Scientific paper

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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