Braided tensor products have been introduced by the author as a systematic way of making two quantum-group-covariant systems interact in a covariant way, and used in the theory of braided groups. Here we study infinite braided tensor products of the quantum plane (or other constant Zamolodchikov algebra). It turns out that such a structure precisely describes the exchange algebra in 2D quantum ...

A braided n-path is a set of « paths ct(t) in R 3 (i = 1 , . . . , n) satisfying (1) c,(0 = (*,(>), MO, 0> ' i < * < r2, c ^ ) = P„ C/(r2) e { & , . . ,Ô„}(2) The paths do not intersect. Two braided «-paths are regarded as equivalent if and only if it is possible to deform the one configuration into the other respecting conditions (1) and (2) throughout the deformation; note that one does permi...

Braided subfactors of von Neumann algebras provide a framework for studying two dimensional conformal field theories and their modular invariants. We review this in the context of SU(3) conformal field theories through corresponding SU(3) braided subfactors and various subfactor invariants including spectral measures for the nimrep graphs, A2-planar algebras and almost Calabi-Yau algebras.

We introduce a representation theory of q-Lie algebras defined earlier in [DG1], [DG2], formulated in terms of braided modules. We also discuss other ways to define Lie algebra-like objects related to quantum groups, in particular, those based on the so-called reflection equations. We also investigate the truncated tensor product of braided modules.

This paper describes a new measuring algorithm for estimating the exterior average braided angle of a three-dimensional (3-D) braided composite material preform] based on image texture. In this project, an advanced filtered algorithm for an image of a 3-D braided composite material preform is developed on the basis of mathematical morphology. Median filter algorithms for mathematical morphology...

Dense seismic array monitoring has recently allowed the detailed investigation of sources ground vibrations and their spatiotemporal dynamics. In a context where traditional techniques for fluvial processes often do not provide data with adequate temporal spatial resolution, use dense arrays could allow identification tracking different river-induced (e.g. turbulence bedload transport). Here, w...