Symmetries of quantum spaces. Subgroups and quotient spaces of quantum $SU(2)$ and $SO(3)$ groups

Details Symmetries of quantum spaces. Subgroups and quotient spaces of quantum $SU(2)$ and $SO(3)$ groups Symmetries of quantum spaces. Subgroups and quotient spaces of quantum $SU(2)$ and $SO(3)$ groups

1994-02-11

arxiv.org/abs/hep-th/9402069v1

Commun.Math.Phys. 170 (1995) 1-20

Physics

High Energy Physics

High Energy Physics - Theory

30 pages (with very slight changes)

Scientific paper

10.1007/BF02099436

We prove that each action of a compact matrix quantum group on a compact
quantum space can be decomposed into irreducible representations of the group.
We give the formula for the corresponding multiplicities in the case of the
quotient quantum spaces. We describe the subgroups and the quotient spaces of
quantum SU(2) and SO(3) groups.

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