منابع مشابه
Decoupling of Translations from Homogeneous Transformations in Inhomogeneous Quantum Groups∗
We briefly report on our result that, if there exists a realization of a Hopf algebra H in a H-module algebra A, then their cross-product is equal to the product of A itself with a subalgebra isomorphic to H and commuting with A. We illustrate its application to the Euclidean quantum groups in N ≥ 3 dimensions.
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Attention is focused on quantum spaces of particular importance in physics, i.e. two-dimensional quantum plane, q-deformed Euclidean space in three or four dimensions, and q-deformed Minkowski space. Each of these quantum spaces can be combined with its symmetry algebra to form a Hopf algebra. The Hopf structures on quantum space coordinates imply their translation. This article is devoted to t...
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I discuss the indefinite metrical structure of the time-space translations asrealized in the indefinite inner products for relativistic quantum fields, familiarin the example of quantum gauge fields. The arising indefinite unitary nondiag-onalizable representations of the translations suggest as the positive unitaritycondition for the probability interpretable positive defin...
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ژورنال
عنوان ژورنال: Banach Center Publications
سال: 2020
ISSN: 0137-6934,1730-6299
DOI: 10.4064/bc120-11