Let G be a connected semi-simple complex Lie group. We define and study the multi-parameter quantum group C q, p [G ] in the case where q is a complex parameter that is not a root of unity. Using a method of twisting bigraded Hopf algebras by a cocycle, [2], we develop a unified approach to the cons
Algebraic structure of quantum fluctuations
β Scribed by B. Momont; A. Verbeure; V. A. Zagrebnov
- Book ID
- 110672995
- Publisher
- Springer
- Year
- 1997
- Tongue
- English
- Weight
- 924 KB
- Volume
- 89
- Category
- Article
- ISSN
- 0022-4715
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## Abstract A general framework for obtaining certain types of contracted and centrally extended algebras is reviewed. The whole process relies on the existence of quadratic algebras, which appear in the context of boundary integrable models.
In [Adv. Math. 140 (1998) , Van Daele introduced the notion of an algebraic quantum group. We proved in [Internat. J. Math. 8 (8) (1997) 1067-1139] that such algebraic quantum groups give rise to reduced C \* -algebraic quantum groups in the sense of [J. Kustermans, S. Vaes, Ann. Sci. Γcole Norm. Su