The moduli spaces of bundles with connections on algebraic curves have been studied from various points of view (see [6], [10]). Our interest in this subject was motivated by its relation with the Painlevé equations, and also by the important role of bundles with connections in the geometric Langlands program [4] (for more details see the remarks at the end of the introduction). In this work, w...

About 60 years ago H. Zassenhaus 17] classiied nite near-elds. In doing so he also gave a full description of those nite groups which have a representation D (over C) such that D(g) has no eigenvalue 1 for any nontrivial element g 2 G. In our terminology such a group is called semiregular. One of the results in 17] characterizes SL 2 (5) as the only perfect semiregular group. Clearly, if the un...

The orbit SL(2,Z)x is dense in R2 when the initial point x ∈ R2 has irrational slope. We refine this result from a diophantine perspective. For any target point y ∈ R2, we introduce two exponents μ(x,y) and μ̂(x,y) that measure the approximation to y by elements γx of the orbit in terms of the size of γ. We estimate both exponents under various conditions. Our results are optimal when the slope ...

We compute a polynomial with Galois group SL 2 (11) over Q.Furthermorewe prove that SL 2 (11) is the Galois group of a regular extension of Q(t).

Jiang Q, Ko WK, Lerner EA, Chan KM, Wong AO. Grass carp somatolactin: I. Evidence for PACAP induction of somatolactinand gene expression via activation of pituitary PAC-I receptors. Am J Physiol Endocrinol Metab 295: E463–E476, 2008. First published June 3, 2008; doi:10.1152/ajpendo.90385.2008.—Somatolactin (SL), the latest member of the growth hormone/prolactin family, is a novel pituitary hor...

In recent years, statistical learning (SL) research has seen a growing interest in tracking individual performance in SL tasks, mainly as a predictor of linguistic abilities. We review studies from this line of research and outline three presuppositions underlying the experimental approach they employ: (i) that SL is a unified theoretical construct; (ii) that current SL tasks are interchangeabl...

PURPOSE To compare 5 different Kirschner wire fixation techniques in terms of the failure loads seen as scapholunate (SL) dissociation in a cadaveric, biomechanical study. METHODS 10 fresh-frozen, finger-amputated wrists with sectioned SL ligaments from 3 male and 2 female cadavers were tested. The change of SL angle, SL dissociation, and the load to failure of the 5 different Kirschner wire ...

We show that the natural representation of SL 3 SL 5 SL 13 allows nonlinear equivariant automorphisms; more exactly, the group of polynomial au-tomorphisms on C 3 C 5 C 13 commuting with the simple SL 3 SL 5 SL 13-action is isomorphic to C n C. This is the rst example of a simple module with nonlinear equivariant automorphisms.

A comparative study was performed on 12 species of the genus Veronica L. (Plantaginaceae sensu APG 2003, formerly Scrophulariaceae) namely Veronica persica, V. bachofenii, V. urticifolia, V. agrestis, V. austriaca, V. chamaedrys, V. officinalis, V. orchidea, V. spicata, V. beccabunga, V. hederifolia, V. prostrata. In these species we have determined the aucubin and catalpol content by using a H...