Let O be the ring of integers of a p-adic field and p its maximal ideal. We compute the Jordan-Hölder decomposition of the reduction modulo p of the cuspidal representations of GL2(O/p) for e ≥ 1. We also provide an alternative formulation of Serre’s conjecture for Hilbert modular forms. 1. Cuspidal representations and weights 1.1. Cuspidal representations. Let K/Qp be a local field, where p is...

In this paper we consider the approximate Jordan maps and boundedness of these maps. Also we investigate the stability of approximate Jordan maps and prove some stability properties for approximate Jordan maps. Keywords—Approximate Jordan map; Stability.

(1) A system of linear equations can be stored using an augmented matrix. The part of the matrix that does not involve the constant terms is termed the coefficient matrix. (2) Variables correspond to columns and equations correspond to rows in the coefficient matrix. The augmented matrix has an extra column corresponding to the constant terms. (3) In the paradigm where the system of linear equa...

5650 | P a g e 2 8 F e b r u a r y , 2 0 1 5 Eigen Faces and Principle Component Analysis for Face Recognition Systems: A Comparative Study Abdelfatah Aref Tamimi, Omaima N. A. AL-Allaf, Mohammad A. Alia 1 Associate Professor, Dept. of CS, Faculty of Sciences & IT, Al-Zaytoonah University of Jordan, Amman, Jordan, email: [email protected] 2 Assistant Professor, Dept. of Basic Sciences, Facult...

In this paper we prove that every n-Jordan homomorphis varphi:mathcal {A} longrightarrowmathcal {B} from unital Banach algebras mathcal {A} into varphi -commutative Banach algebra mathcal {B} satisfiying the condition varphi (x^2)=0 Longrightarrow varphi (x)=0, xin mathcal {A}, is an n-homomorphism. In this paper we prove that every n-Jordan homomorphism varphi:mathcal {A} longrightarrowmathcal...

Several modern approaches to separation of concerns support identification and encapsulation of important concerns that could not traditionally be encapsulated. They generally require that the software be written up front with the appropriate modularization. However, as software evolves, the need arises for new concerns, often of new kinds. This position paper motivates the need for on-demand r...

The static and dynamic properties of the isotropic XY-model (s = 1/2) on the inhomogeneous periodic chain, composed of N segments with n different exchange interactions and magnetic moments, in a transverse field h are obtained exactly at arbitrary temperatures. The properties are determined by introducing the generalized Jordan-Wigner transformation and by reducing the problem to a diagonaliza...

We study the “conformal groups” of Jordan algebras along the lines suggested by Kantor. They provide a natural generalization of the concept of conformal transformations that leave 2-angles invariant to spaces where “p-angles” (p ≥ 2) can be defined. We give an oscillator realization of the generalized conformal groups of Jordan algebras and Jordan triple systems. A complete list of the general...