Representations of the compact quantum group SUq(N) and geometrical quantization
Abstract
The method of geometrical quantization of symplectic manifolds is applied to constructing infinite dimensional irreducible unitary representations of the algebra of functions on the compact quantum group SUq(2). A formulation of the method for the general case SUq(n) is suggested. (This work is the English version of the article submitted for publication in Algebra Analiz.)
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