1.1 One of the important technical tools in D. Gaitsgory’s proof of the Vanishing Conjecture appearing in the geometric Langlands correspondence ([3]) is the theory of Whittaker functors for GLn. In this paper we define analogous functors for GSp4 and study their properties. Let us first review the situation at the level of automorphic forms on G = Sp4. Let X be a smooth projective absolutely i...

The conductance of solutions of penicillin salts is a governing factor in iontophoretic treatment of infections with this antibiotic. In contrast to the experiments of von Sallmann and Meyer (1) showing an increased transport of penicillin to the aqueous humor of rabbit eyes under a D.C. potential of 45 volts, Hamilton-Paterson (2) states that “penicillin appears to be either a very poor conduc...

‎Let $tau$ be a subgroup functor and $H$ a $p$-subgroup of a finite group $G$‎. ‎Let $bar{G}=G/H_{G}$ and $bar{H}=H/H_{G}$‎. ‎We say that $H$ is $Phi$-$tau$-quasinormal in $G$ if for some $S$-quasinormal subgroup $bar{T}$ of $bar{G}$ and some $tau$-subgroup $bar{S}$ of $bar{G}$ contained in $bar{H}$‎, ‎$bar{H}bar{T}$ is $S$-quasinormal in $bar{G}$ and $bar{H}capbar{T}leq bar{S}Phi(bar{H})$‎. ‎I...

i n m a n u f a c t u r i n g a c t i v i t i e s, i s s u e s s u c h a s t h e i n t e n s i t y o f c o m p e t i t i o n, r i s i n g a n d c h a n g i n g c u s t o m e r e x p e c t a t i o n s, a n d e v e r-i n c r e a s i n g t e c h n o l o g i c a l d e v e l o p m e n t s, i n t e n s i f y m a n u f a c t u r e r c o m m i t m e n t t o e l i m i n a t e d e f e c t s i n i t s p r...

this article has long been taken of the description and clarification of dramatic signs as well as the structure of the small book entitled draxt ? ?s?r?g “the babylonian tree” (here after bt); a text having comparatively long history in iranian studies which have been interpreted in different ways, by previous scholars. bt is a versified contest between a goat and a palm tree, originally compo...

we construct a family of two parameter quantum grou-ps‎ ‎$u_{r,s}(mathfrak{g})$ associated with a generalized kac-moody‎ ‎algebra corresponding to symmetrizable admissible borcherds cartan‎ ‎matrix‎. ‎we also construct the $textbf{a}$-form $u_{textbf{a}}$ and‎ ‎the classical limit of $u_{r,s}(mathfrak{g})$‎. ‎furthermore‎, ‎we‎ ‎display the equitable presentation for a subalgebra‎ ‎$u_{r,s}^{b-...

We construct a family of two parameter quantum grou-\ps‎ ‎$U_{r,s}(mathfrak{g})$ associated with a generalized Kac-Moody‎ ‎algebra corresponding to symmetrizable admissible Borcherds Cartan‎ ‎matrix‎. ‎We also construct the $textbf{A}$-form $U_{textbf{A}}$ and‎ ‎the classical limit of $U_{r,s}(mathfrak{g})$‎. ‎Furthermore‎, ‎we‎ ‎display the equitable presentation for a subalgebra‎ ‎$U_{r...