The compact quantum group Uq(2) I
โ Scribed by Xiaoxia Zhang; Ervin Yunwei Zhao
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 243 KB
- Volume
- 408
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
โฆ Synopsis
Corresponding to Hayashi's R-matrix, we first follow Woronowicz's method to construct an other concrete compact quantum group U q (2), q โ C \ {0}; then we discuss its *-irreducible representations, and we show that these representations correspond to those of irrational algebras B ฮธ , and in the final, we also give the formula of Haar measure of U q (2).
๐ SIMILAR VOLUMES
In this paper we study actions of locally compact quantum groups on von Neumann algebras and prove that every action has a canonical unitary implementation, paralleling Haagerup's classical result on the unitary implementation of a locally compact group action. This result is an important tool in th
Invariance properties of the funchons satisfying an integral spherical equation on a compact quantum group are discussed. It is shown that spherical and zonal spherical functions are conncected with the spherical representation of a compact quantum group.