The quantised braided groups were introduced recently in [1] combining Majid’s concept of braided groups [2] and the FRT formulation of quantum supergroups [3]. The generators of quantised braided groups T = T j i , i, j ∈ {1, . . . , d = dimV } satisfy the algebraic and braid relations Q12R −1 12 T1R12T2 = R −1 21 T2R21T1Q12 (1) ψ(T1 ⊗R12T2) = R12T2 ⊗R −1 12 T1R12 (2) where the numerical matri...

Restoration measures of deteriorated river ecosystems generally aim at increasing the spatial heterogeneity and connectivity of these systems in order to increase biodiversity and ecosystem stability. While this is believed to benefit overall ecological integrity, consequences of such restoration projects on biogeochemical processes per se (i.e. ecosystem functioning) in fluvial systems are rar...

Magnetic vortices intermittently flow through preferred channels when they are forced in or out of a superconductor. We study this behavior using a cellular model, and find that the vortex flow can make braided rivers strikingly similar to aerial photographs of braided fluvial rivers, such as the Brahmaputra. By developing an analysis technique suitable for characterizing a selfaffine (multi)fr...

A generalized oscillator algebra is proposed and the braided Hopf algebra structure for this generalized oscillator is investigated. Using the solutions for the braided Hopf algebra structure, two types of braided Fibonacci oscillators are introduced. This leads to two types of braided Biedenharn-Macfarlane oscillators as special cases of the Fibonacci oscillators. We also find the braided Hopf...

BACKGROUND Cervical incompetence is one of the causes of preterm birth and mid-trimester pregnancy loss. Cervical cerclage is a surgical procedure to treat cervical incompetence. Cervical cerclage reduces the incidence of preterm birth in women at risk of recurrent preterm birth, without a statistically significant reduction in perinatal mortality or neonatal morbidity. Multifilament/braided su...

The Triassic Jiucaiyuan Formation is a vital oil and gas exploration target in the eastern part of Junggar Basin. In this work, cores, thin sections, particle sizes, conventional physical properties were analyzed order to understand sedimentary characteristics depositional model Beisantai Uplift clarify factors controlling reservoir development. results demonstrate that can be divided into seve...

We associate to any braided 2-groupoid with vanishing intermediate homotopy group a principal bundle (or torsor) endowed with a so-called Σ-structure, and show that this is the natural generalization to the 2-category context of the familiar quadratic invariant describing a braided groupoid. The corresponding structures for higher braided n-groupoids are also examined. This leads to the concept...

We associate to any braided 2-groupoid with vanishing intermediate homotopy group a principal bundle (or torsor) endowed with a so-called Σ-structure, and show that this is the natural generalization to the 2-category context of the familiar quadratic invariant describing a braided groupoid. The corresponding structures for higher braided n-groupoids are also examined. This leads to the concept...

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...