We obtain the double factorization of braided bialgebras or braided Hopf algebras, give relation among integrals and semisimplicity of braided Hopf algebra and its factors.

Braided-Lie bialgebras have been introduced by Majid, as the Lie versions of Hopf algebras in braided categories. In this paper we extend previous work of Majid and of ours to show that there is a braided-Lie bialgebra associated to each inclusion of Kac–Moody bialgebras. Doing so, we obtain many new examples of infinite-dimensional braided-Lie bialgebras. We analyze further the case of untwist...

An investigation was performed to determine whether corrosion resistant boron-free E-glass fibers could adequately prevent acid induced brittle fracture failures of high voltage composite insulator rods. Nine different rod compositions were tested at 45% of mechanical failure load in contact with 1 N nitric acid. Rods made out of commonly used E-glass fibers failed mechanically in less than 2 h...

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...

Abstract This work investigates the potential of improving mechanical performance braided composite beams through introduction local braid angle variations. Tubular with a 45°/60°/45° length-wise (axial) variation were manufactured and tested in quasi-static three-point flexure their was compared having layer-wise (radial) [±60°/±45°/±45°] variation. Compared to uniform angles, axial tailoring ...

Textile composites are the materials in which the composition and internal structure is changed under controlled conditions so as to match their performance to the most demanding structural or non-structural roles. Textile reinforcement structure can be made of fibers, yarns or fabrics (woven, braided, knitted or non wovens) and are generally flexible. The application of traditional textile tec...