Let G be a linear algebraic group defined over a field k. We prove that, under mild assumptions on k and G, there exists a finite k-subgroup S of G such that the natural map H(K,S) −→ H(K,G) is surjective for every field extension K/k. We give two applications of this result in the case where k an algebraically closed field of characteristic zero and K/k is finitely generated. First we show tha...

The decoherence of a two-state system coupled with a sub-Ohmic bath is investigated theoretically by means of the perturbation approach based on a unitary transformation. It is shown that the decoherence depends strongly and sensitively on the structure of environment. Nonadiabatic effect is treated through the introduction of a function ξk which depends on the boson frequency and renormalized ...

A series of systems of nonlinear equations with affine Weyl group symmetry of type A (1) l is studied. This series gives a generalization of Painlevé equations P IV and PV to higher orders. Introduction In this paper we propose a series of systems of nonlinear differential equations which have symmetry under the affine Weyl groups of type A (1) l (l ≥ 2). These systems are thought of as higher ...

Determining the atomic structure and the influence of defects on properties of low symmetry oxides have long been an engineering pursuit. Here, we focus on five thermodynamically reversible monoclinic and orthorhombic polymorphs of dicalcium silicates (Ca2SiO3)-a key cement constituent-as a model system and use atomistic simulations to unravel the interplay between the screw dislocation core en...

We look at Hopf Galois structures with square free pqw degree on separable field extensions (nonnormal) L/K. Where E/K is the normal closure of L/K, group permutation G = Gal(E/K). study details nonabelian case, where Jl ⟨σ, [τ, αl ]⟩ a regular subgroup Hol(N) for 1 ≤ l w − 1. first find G, and then each G. In this there exists four such that are admissible within

We calculate the universal radiative QED corrections to polarized lepton scattering for general scattering cross sections in analytic form. The flavor non–singlet and singlet radiation functions are calculated to O((αL)5). The resummation of the non–singlet and singlet contributions to the QED–anomalous dimensions ∝ (α ln(x))k is performed to all orders. Numerical results are presented for the ...

Photoluminescence study of undoped, doped GaN grown on (00.1), (11.0), (01.2)Αl 2 O 3 (100), (111)Si, and (00.1)6H—SiC substrates have been conducted. Strong bandedge emissions from all undoped samples and dopant-related emissions from doped samples were observed. Deep-level yellow emissioii centered around 2.2 eV was not observed from undoped GaN grown on 6H-SiC substrate, undoped GaN with opt...

in this study, the effect of α-adrenoceptor agents on imipramine-induced antinociception was investigated using formalin test. intraperitoneal (i.p.) administration of imipramine at different doses (10-80 mg/kg) induced antinociception in both phases of formalin test. in addition, intracerebroventricular (i.c.v.) injection of imipramine (1, 5, and 10 µg/rat) did not elicit any effect, although ...