منابع مشابه
Braided Clifford Algebras as Braided Quantum Groups
The paper deals with braided Clifford algebras, understood as Chevalley-Kähler deformations of braided exterior algebras. It is shown that Clifford algebras based on involutive braids can be naturally endowed with a braided quantum group structure. Basic group entities are constructed explicitly.
متن کاملQuantum and Braided Integrals
We give a pedagogical introduction to integration techniques appropriate for non-commutative spaces while presenting some new results as well. A rather detailed discussion outlines the motivation for adopting the Hopf algebra language. We then present some trace formulas for the integral on Hopf algebras and show how to treat the ∫ 1 = 0 case. We extend the discussion to braided Hopf algebras r...
متن کاملQuantum hyperboloid and braided modules
When a quantum hyperboloid is realized, as a three parameter algebra Ah,q, in the usual manner, the following problem arises: what is a ”representation theory” of this algebra? We construct the series of all spin representations of Ah,q, and we discuss a braided version of the orbit method, i.e. a correspondence between orbits in g∗ and g-modules. A braided trace and a braided involution are di...
متن کاملQuantum Hyberboloid and Braided Modules
We construct a representation theory of a “quantum hyperboloid” in terms of so-called braided modules. We treat these objects in the framework of twisted Quantum Mechanics. Résumé Nous construisons une théorie de représentations pour « l’hyperboloïde quantique » en termes de modules tressés. Nous traitons ces objets dans le cadre de la mécanique quantique tordue.
متن کاملA new algebra which transmutes to the braided algebra
We find a new braided Hopf structure for the algebra satisfied by the entries of the braided matrix BSLq(2). A new nonbraided algebra whose coalgebra structure is the same as the braided one is found to be a two parameter deformed algebra. It is found that this algebra is not a comodule algebra under adjoint coaction. However, it is shown that for a certain value of one of the deformation param...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 1993
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.530193