منابع مشابه
Damtp/92-39 the Braided Heisenberg Group
We compute the braided groups and braided matrices B(R) for the solution R of the Yang-Baxter equation associated to the quantum Heisenberg group. We also show that a particular extension of the quantum Heisenberg group is dual to the Heisenberg universal enveloping algebra U q (h), and use this result to derive an action of U q (h) on the braided groups. We then demonstrate the various covaria...
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Given M copies of a q-deformed Weyl or Clifford algebra in the defining representation of a quantum group Gq, we determine a prescription to embed them into a unique, inclusive Gq-covariant algebra. The different copies are “coupled” to each other and are naturally ordered into a “chain”. In the case Gq = SLq(N) a modified prescription yields an inclusive algebra which is even explicitly SLq(M)...
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By studying the braid group action on Milnor’s construction of the 1-sphere, we show that the general higher homotopy group of the 3-sphere is the fixed set of the pure braid group action on certain combinatorially described group.
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A new deformation of the of the Poincaré group and of the Minkowski space-time is given. From the mathematical point of view this deformation is rather quantum-braided group. Global and local structure of this quantumbraided Poincaré group is investigated. A kind of “quantum metrics” is introduced in the q-Minkowski space.
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A near-group category is an additively semisimple category with a product such that all but one of the simple objects is invertible. We classify braided structures on near-group categories, and give explicit numerical formulas for their associativity and commutativity morphisms. 1. Results We consider near-group categories; that is, semisimple monoidal categories, whose set of simples consists ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 1993
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.530047