Poincaré series of quantum matrix bialgebras determined by a pair of quantum spaces

Physics – High Energy Physics – High Energy Physics - Theory

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12 pages

Scientific paper

The dimension of the third homogeneous component of a matrix quantum
bialgebra, determined by pair of quantum spaces, is calculated. The
Poincar\'{e} series of some deformations of $GL(n)$ is calculated. A new
deformation of $GL(3)$ with the correct dimension is given.

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