In this paper we wish to establish the integral representations of generalized relative type and generalized relative weak type as introduced by Datta et al [9]. We also investigate their equivalence relation under some certain conditions.

In this paper we will give the character table of the irreducible rational representations of G=SL (2, q) where q= , p prime, n>O, by using the character table and the Schur indices of SL(2,q).

A dynamical system is by definition a system whose state changes with time t. We have a discrete dynamical system when t is an integer or a natural number, and the elements of the system can be obtained in the form u t+1 = F(u t ), where F is some global function which describes the evolution rule of the system (see [1]). In a series of very recentworks, the theory of discrete dynamical systems...

The hydrogen isotope ratio of the dinoflagellate sterol dinosterol (4a,23,24-trimethyl-5a-cholest-22E-en-3b-ol) was measured in suspended particles and surface sediments from the Chesapeake Bay estuary in order to evaluate the influence of salinity on hydrogen isotope fractionation. D/H fractionation was found to decrease by 0.99 ± 0.23& per unit increase in salinity over the salinity range 10–...

For G real split, I studied the (non)-unitarity of a spherical principal series I(1, ν) of G by means of Weyl group representations. For a good choice of the parameter ν, the spherical principal series I(1, ν) admits an invariant hermitian form. To discuss the unitarity of I(1, ν), one needs to compute the signature of such a form. Computations can be done separately on the isotypic of each K−t...

A partition λ of a positive integer n is a sequence λ1 λ2 λm 0 of integers such that ∑λi n. For a positive integer p, a partition λ λ1 λ2 λm (or its Young diagram) is called p-regular if it does not have p or more equal parts, i.e. if there does not exist t m p 1 with λt λt 1 λt p 1. Let F be a field of characteristic p 0. It is well known that irreducible representations of the symmetric group...

Signed graphs are graphs with signed edges. They are commonly used to represent positive and negative relationships in social networks. While balance theory and clusterizable graphs deal with signed graphs to represent social interactions, recent empirical studies have proved that they fail to reflect some current practices in real social networks. In this paper we address the issue of drawing ...

Irradiation experiments were conducted on multilayer (ML) and coevaporated (CO) thin films in order to examine the role that the heat-of-mixing (AH,,,,,) has in ion-induced gram growth. Room-temperature irradiations using 1.7 MeV Xe were performed in the High Voltage Electron Microscope at Argonne National Laboratory. The alloys studied (Pt-Ti, Pt-V, Pt-Ni, Au-Co and Ni-Al) spanned a large rang...

in this paper we will give the character table of the irreducible rational representations of g=sl (2, q) where q= , p prime, n>o, by using the character table and the schur indices of sl(2,q).

When a gauge theory with gauge group G is broken by a dynamical condensate C that transforms nontrivially under G, with covariant derivative (DμC) , the leading derivative term (DμC) (DC)A in the effective action can have a coefficient α of general sign and magnitude. The case α > 0 corresponds to the usual Higgs phase, but the cases α = 0 and α < 0 correspond to new phases with novel propertie...