We construct a family of exact functors from the BGG category O of representations of the Lie algebra sln(C) to the category of finite-dimensional representations of the degenerate (or graded) affine Hecke algebra Hl of GLl. These functors transform Verma modules to standard modules or zero, and simple modules to simple modules or zero. Any simple Hl-module can be thus obtained.

Fast methods are proposed for solving the system KNx = b resulting from the dis-cretization of elliptic self-adjoint equations in three dimensional domains by the spectral element method. The domain is decomposed into hexahedral elements, and in each of these elements the discretization space is formed by polynomials of degree N in each variable. Gauss-Lobatto-Legendre (GLL) quadrature rules re...

Cost-sensitive multiclass classification has recently acquired significance in several applications, through the introduction of multiclass datasets with well-defined misclassification costs. The design of classification algorithms for this setting is considered. It is argued that the unreliable performance of current algorithms is due to the inability of the underlying loss functions to enforc...

We construct a functor from the category of modules over the trigonometric (resp. rational) Cherednik algebra of type gll to the category of integrable modules of level l over a Yangian for the loop algebra sln (resp. over a subalgebra of this Yangian called the Yangian deformed double loop algebra) and we establish that it is an equivalence of categories if l + 2 < n.

BACKGROUND Photoselective vaporization (PVP) with the GreenLight HPS 120-W laser (GLL) was recently introduced for treatment of benign prostatic hyperplasia (BPH). OBJECTIVE To compare results of GLL PVP and transurethral resection of the prostate (TURP) for treatment of BPH. DESIGN, SETTING, AND PARTICIPANTS A total of 120 patients with BPH were randomly assigned to two equal groups: TURP ...

In this article we work with the degenerate affine Hecke algebra Hl corresponding to the general linear group GLl over a local non-Archimedean field. This algebra was introduced by V.Drinfeld in [D], see also [L]. The complex associative algebra Hl is generated by the symmetric group algebra CSl and by the pairwise commuting elements x1 , . . . , xl with the cross relations for p = 1 , . . . , ...

Microorganisms capable of producing xy]itol from Darabitol were screened for. Of the 420 strains tested, three bacteria, belonging to the genera Acetobacter and Gluconobacter, produced xylitol from D-arabitol when intact cells were used as the enzyme source. Among them, Gluconobacter oxydans ATCC 621 produced 29.2 g!1 xylitol from 52.4 g!1 D-arabitol after incubation for 27 h. The production of...

We present a spectral-element discontinuous Galerkin thermal lattice Boltzmann method (SEDG-TLBM) for fluid-solid conjugate heat transfer applications. In this work, we revisit the discrete Boltzmann equation (DBE) for nearly incompressible flows and propose a numerical scheme for conjugate heat transfer applications on unstructured, non-uniform mesh distributions. We employ a double-distributi...

A fossil hominid tooth was discovered during survey at Galili, Somali region, Ethiopia. The geological and faunal context indicate an Early Pliocene age. The specimen (GLL 33) consists of an almost complete lower right third molar likely representing a male individual of advanced age-at-death. Its comparative metrical, morphological and (micro)structural analysis (supported by a microtomographi...