The quantum Weyl group \(\widetilde{U_{q}(g)}\) associated to a complex simple Lie algebra \(g\) consists of the quantum group \(U_{4}(g)\) with certain "quantum simple reflections" \(\bar{u}\), adjoined. Let \(k \tilde{W}\) be the group algebra of the standard covering \(\tilde{W}\) of the Weyl gro
Group-theoretical structure of quantum continuous measurements
β Scribed by Michael B. Mensky
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 369 KB
- Volume
- 150
- Category
- Article
- ISSN
- 0375-9601
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π SIMILAR VOLUMES
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
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
We study the nature and effects of some continual measurements in nonrelativistic quantum mechanics, a concept introduced by R. P. Feynman in his path integral formulation of quantum mechanics. We prove the existence in various senses of mathematically rigorous objects formally equivalent to the pat