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 کاملOn Braided Quantum Groups
A braided generalization of the concept of Hopf algebra (quantum group) is presented. The generalization overcomes an inherent geometrical inhomogeneity of quantum groups, in the sense of allowing completely pointless objects. All braid-type equations appear as a consequence of initial axioms. Braided counterparts of basic algebraic relations between fundamental entities of the standard theory ...
متن کاملBraided Diagram Groups and Local Similarity Groups
Hughes defined a class of groups that act as local similarities on compact ultrametric spaces. Guba and Sapir had previously defined braided diagram groups over semigroup presentations. The two classes of groups share some common characteristics: both act properly by isometries on CAT(0) cubical complexes, and certain groups in both classes have type F∞, for instance. Here we clarify the relati...
متن کاملQuantum and Braided Diffeomorphism Groups
We develop a general theory of ‘quantum’ diffeomorphism groups based on the universal comeasuring quantum group M(A) associated to an algebra A and its various quotients. Explicit formulae are introduced for this construction, as well as dual quasitriangular and braided R-matrix versions. Among the examples, we construct the q-diffeomorphisms of the quantum plane yx = qxy, and recover the quant...
متن کاملBi-orderings on Pure Braided Thompson’s Groups
In this paper it is proved that the pure braided Thompson’s group BF admits a bi-order, analog to the bi-order of the pure braid groups.
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 1994
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.530523