Consider the character of an irreducible admissible representation of a p-adic reductive group. The Harish-Chandra-Howe local expansion expresses this character near a semisimple element as a linear combination of Fourier transforms of nilpotent orbital integrals. Under mild hypotheses, we describe an explicit region on which the local character expansion is valid. We assume neither that the gr...

We will prove a general result in Invariant Theory, viz. for a quotientC==G, whereG is a connected complex semisimple algebraic group, the local first homology group at any point in the quotient C==G is trivial and the local second homology group is finite. Using this we will prove that the completion of the local ring of any point in C==G is a unique factorization domain (UFD). Mathematics Sub...

Let G be a semisimple algebraic group over a local field K of characteristic p. If the universal covering map Gsc → G is inseparable then no open subgroup of G(K) is finitely generated. Otherwise, for any compact open subgroup G with probability 1 two randomly chosen elements generate an open subgroup of G(K). Our main tool is a recent theorem by R. Pink characterizing compact groups linear ove...

abstract 900 rainbow trout (mean weight 25 gr) were obtained from a local fish farm in urmia city and after acclimatization for 10 days, the fish were randomly divided into four groups (with three replication) and fed for 8 weeks with 0 (control), 2/5, 5 and 10 g chitosan/kg feed, respectively. finally treatments were fed the control diet (without any chitosan) for another 3 weeks. body weight,...

Local endemic species with their unique evolutionary history always stirred the interest of scientists. One such area especially rich in endemics is northern Italy. In case of pill millipedes of the genus Glomeris Latreille, 1803, only a single species is found in northern Europe, while 22 country-endemics alone are known from Italy. Many of these endemics, however, have not been studied in sev...

1. World Health Organization. Cutaneous leishmaniasis, Afghanistan. Wkly Epidemiol Rec. 2002;77:246. 2. Reithinger R, Mohsen M, Aadil K, Sidiqi M, Erasmus P, Coleman PG. Anthroponotic cutaneous leishmaniasis, Kabul, Afghanistan. Emerg Infect Dis. 2003;9:727–9. 3. Reyburn H, Rowland M, Mohsen M, Khan B, Davies CR. The prolonged epidemic of anthroponotic cutaneous leishmaniasis in Kabul, Afghanis...

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In this paper we investigate the problem of the existence of invariant measures on the local gauge group. We prove that it is impossible to define a finite translationally invariant measure on the local gauge group C∞(Rn, G)(where G is an arbitrary matrix Lie group). Functional integral over the local gauge group is a commonly employed technique in the study of gauge field theories. Its earlies...

Geum iranicum Khatamsaz (Rosaceae) is an endemic plant in Iran. The infusion and decoction of the plant have been used by local people for medicinal purposes. Our previous work on phytochemical studies on G. iranicum showed that the root was rich in sugars and sucrose was identified as a major one in it. In this study, the content of sucrose in the hydro-alcoholic (1:1) extract of the root of G...