Let IAn be the Torelli subgroup of AutpFnq. We give an explicit finite set of generators for H2pIAnq as a GLnpZq-module. Corollaries include a version of surjective representation stability for H2pIAnq, the vanishing of the GLnpZq-coinvariants of H2pIAnq, and the vanishing of the second rational homology group of the level l congruence subgroup of AutpFnq. Our generating set is derived from a n...

© 2014 Chen et al.; licensee BioMed Central L Commons Attribution License (http://creativec reproduction in any medium, provided the or Dedication waiver (http://creativecommons.or unless otherwise stated. the wrong subgroup in our meta-analysis. They should have been included in the first subgroup (glutamine <0.3 g/kg per day); this does not change the significance of the results (P=0.01). The...

Kleshchev has recently [7] classi®ed those modules for the symmetric group which have semisimple restriction to any Young subgroup. We determine Ext K Sd …D ;D m† where D l and D m are K Sd -modules of this type, called completely splittable. As a corollary of this and recent work of Kleshchev and Nakano, we can determine ExtGL n…K†……L…l†;L…m†† for certain simple GLn…K†-modules L…l† and L…m†. 1...

BACKGROUND Patients with low HDL cholesterol (HDL-C) and elevated triglyceride had an increased risk for coronary heart disease (CHD) events and received the greatest benefit with fibrate therapy in substudy analyses of the Helsinki Heart Study and the Bezafibrate Infarction Prevention Study. METHODS AND RESULTS In this post hoc analysis of the Scandinavian Simvastatin Survival Study, which e...

Safety and anti-diabetic effects of Glucolevel, a mixture of dry extract of leaves of the Juglans regia L, Olea europea L, Urtica dioica L and Atriplex halimus L were evaluated using in vivo and in vitro test systems. No sign of toxic effects (using LDH assay) were seen in cultured human fibroblasts treated with increasing concentrations of Glucolevel. Similar observations were seen in vivo stu...

The goal of this paper is to give a category theory based definition and classification of “finite subgroups in Uq(sl2)” where q = eπi/l is a root of unity. We propose a definition of such a subgroup in terms of the category of representations of Uq(sl2); we show that this definition is a natural generalization of the notion of a subgroup in a reductive group, and that it is also related with e...

The goal of this paper is to classify “finite subgroups in Uq(sl2)” where q = eπi/l is a root of unity. We propose a definition of such a subgroup in terms of the category of representations of Uq(sl2); we show that this definition is a natural generalization of the notion of a subgroup in a reductive group, and that it is also related with extensions of the chiral (vertex operator) algebra cor...

Wavelet and frames have become a widely used tool in mathematics, physics, and applied science during the last decade. In this article we discuss the construction of frames for L(R) using the action of closed subgroups H ⊂ GL(n,R) such that H has an open orbit O in R under the action (h, ω) 7→ (h) (ω). If H has the form ANR, where A is simply connected and abelian, N contains a co-compact discr...

1.1. Aschbacher-Scott Program. Primitive permutation groups have been studied since Galois and Jordan and have applications in many different areas. If Γ is a transitive permutation group with a point stabilizer M then Γ is primitive if and only if M < Γ is a maximal subgroup. So studying primitive permutation groups is equivalent to studying maximal subgroups. In most problems involving a fini...