In the joint paper [10], the authors established a connection between representations of a finite Lie algebra g0 over a finite field Fq and their algebraic extension g = g0 ⊗Fq k for k = F̄q , which particularly describes irreducible representations of g0 through irreducible representations of g. In this process, the so-called Fg-stable modules play a crucial role, which arise from the Frobenius...

Let us fix a conformal class [g0] and a spin structure σ on a compact manifold M . For any g ∈ [g0], let λ1 (g) be the smallest positive eigenvalue of the Dirac operator D on (M,g, σ). In a previous article we have shown that λmin(M,g0, σ) := inf g∈[g0] λ1 (g)vol(M,g) 1/n > 0. In the present article, we enlarge the conformal class by adding certain singular metrics. We will show that if λmin(M,...

Background: The present study aimed to develop an optimal model predictive of the treatment response one week after initiating antiviral therapy. Patients and Methods: In all, 166 patients completed the treatment and were followed up for six months. Results: A viral response was achieved in 14 (8.4%) genotype 1 (G1) and 32 (19.3%) non-genotype 1 (G0) patients at week one after initiation of the...

Let g=g0¯⊕g1¯ be a basic classical Lie superalgebra over C, e∈g0¯ nilpotent element and ge the centralizer of e in g. We study various properties elements g, which have previously only been considered case algebras. In particular, we prove that is reachable if satisfies Panyushev property for g=sl(m|n), m≠n or psl(n|n) osp(m|2n). For exceptional superalgebras g=D(2,1;α), G(3), F(4), give classi...

OBJECTIVES In recent years, new chemotherapy regimens with promising activity, especially in first-line therapy (induction chemotherapy) of head and neck cancer (SCCHN), have been developed. Nevertheless, a major problem concerning the response of SCCHN to chemotherapy is the high percentage of resting cells (G0-phase cells) being resistant to chemotherapy. To overcome this phenomenon, the capa...

We present analysis and modeling of X-ray spectra from the blast wave shock of DEM L71 in the Large Magellanic Cloud. This remnant exhibits widespread Balmer-dominated emission characteristic of nonradiative shocks in partially neutral gas. We have used both Chandra ACISS data and optical Fabry-Perot spectra of the blast wave to measure the electron and proton temperatures, respectively. In pri...