The q-Poincaré group of [1] is shown to have the structure of a semidirect product and coproduct B>⊳ ̃ SOq(1, 3) where B is a braided-quantum group structure on the q-Minkowski space of 4-momentum with braided-coproduct ∆p = p⊗ 1+1⊗p. Here the necessary B is not a usual kind of quantum group, but one with braid statistics. Similar braided-vectors and covectors V (R), V (R) exist for a general R...

We obtain an R-matrix or matrix representation of the Artin braid group acting in a canonical way on the vector space of every (super)-Lie algebra or braided-Lie algebra. The same result applies for every (super)-Hopf algebra or braided-Hopf algebra. We recover some known representations such as those associated to racks. We also obtain new representations such as a non-trivial one on the ring ...

In order to effectively differentiate all kinds of defects inside the composites, this paper carries out testing on the internal defects of three-dimensional (3d) braided composites by use of acoustic emission nondestructive detecting technology. It puts forward the processing method for acoustic emission signals for the internal defects of three-dimensional braided composites based on wavelet ...

In unconfined parts of the Chalk aquifer in southeast England, permeability generally varies laterally with the lowest permeabilities occurring beneath interfluve areas, and the highest beneath river valleys and dry valleys. Furthermore, the Chalk in the river valleys is normally in excellent hydraulic continuity with the overlying highly permeable Quaternary gravels. However, recent field inve...

The Lower Shihezi Formation of the Daniudi gas field in Ordos Basin is a typical reservoir braided river system an alluvial plain, characterized by extensive development, parallel development from near source to center basin, and frequent interweaving cut stacking, as well complex deposition process that has seen channel changes. belt, channel, bar inside river, interlayer within constitute hie...

We interpret a recent formula for counting orbits of GL(d, Fq) in terms of counting fixed points as addition in the affine braided line. The theory of such braided groups (or Hopf algebras in braided categories) allows us to obtain the inverse relationship, which turns out to be the same formula but with q and q interchanged (a perfect duality between counting orbits and counting fixed points)....

The main aim of this paper is to investigate the structure of primitively generated connected braided bialgebras A with respect to the braided vector space P consisting of their primitive elements. When the Nichols algebra of P is obtained dividing out the tensor algebra T (P ) by the two-sided ideal generated by its primitive elements of degree at least two, we show that A can be recovered as ...

In recent years, lithologic oil and gas reservoirs have become an important target in continental hydrocarbon-bearing basins. Geophysical prospecting technology using seismic data is indispensable tool for exploration. However, while previous work has paid much attention to the responses of (sandstones), depositional sequences composed sandstone–mudstone cycles are not well understood reservoir...