Representations of the compact quantum group $SU_q(N)$ and geometrical quantization

G. E. Arutyunov

doi:10.1007/BF01016754

paper

Representations of the compact quantum group $S U_{q} (N)$ and geometrical quantization

arXiv:hep-th/9306128 · doi:10.1007/BF01016754

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 $S U_{q} (2)$ . A formulation of the method for the general case $S U_{q} (n)$ is suggested. (This work is the English version of the article submitted for publication in Algebra Analiz.)

13 pages

Representations of the compact quantum group SUq​(N) and geometrical quantization

Abstract

Representations of the compact quantum group $S U_{q} (N)$ and geometrical quantization