Representations of the quantum matrix algebra $M_{q,p}(2)$

Details Representations of the quantum matrix algebra $M_{q,p}(2)$ Representations of the quantum matrix algebra $M_{q,p}(2)$

1993-05-19

arxiv.org/abs/hep-th/9305084v2

Physics

High Energy Physics

High Energy Physics - Theory

20 pages

Scientific paper

10.1088/0305-4470/26/22/027

It is shown that the finite dimensional irreducible representaions of the
quantum matrix algebra $ M_{ q,p}(2) $ ( the coordinate ring of $ GL_{q,p}(2)
$) exist only when both q and p are roots of unity. In this case th e space of
states has either the topology of a torus or a cylinder which may be thought of
as generalizations of cyclic representations.

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