The generalized Kazhdan-Lusztig polynomials for the finite dimensional irreducible representations of the general linear superalgebra are computed explicitly. The result is applied to prove a conjectural character formula put forward by van der Jeugt et al in the late 80s. We simplify this character formula to cast it into the Kac-Weyl form, and derive from it a closed formula for the dimension...

Given a word W in the free group on 2 letters F2, Horowitz showed that the special linear character of W is an integer polynomial in the 3 characters of the basic words of F2. Special linear characters are defined via the trace of their representations, and the polynomial character of an arbitrary W can be found by application of certain “trace relations”, which allow one to write the character...

In this paper, the generalized learning vector quantization (GLVQ) algorithm is applied to design a handwritten Chinese character recognition system. The system proposed herein consists of two modules, feature transformation and recognizer. The feature transformation module is designed to extract discriminative features to enhance the recognition performance. The initial feature transformation ...

In this paper, we have proposed approach for skew detection and correction of handwritten and printed Gujarati document using Linear Regression method/technique. Skew detection and correction is important for any recognition system as it directly affects the recognition process of characters/documents. The proposed method work involves linear regression formula for detecting angle of rotation a...

Isaacs has defined a character to be super monomial if every primitive character inducing it is linear. Isaacs has conjectured that if G is an M -group with odd order, then every irreducible character is super monomial. We prove that the conjecture is true if G is an M -group of odd order where every irreducible character is a {p}-lift for some prime p. We say that a group where irreducible cha...

Abstract . Let q he a power of a prime number, Fq the finite field with q elements, n an integer dividing q 1, n > 2, and g a character of order n of the multiplicative group Fq. I f X is an algebraic curve defined over Fq and if G is a divisor on X, we define a non linear code F(q, X, G, n, X) on an alphabet with n + 1 letters.We compute the parameters of this code, through the consideration o...

Natural Language Processing (NLP) is important and interesting area in computer science affecting also other spheres of science; e.g., geographical processing, social statistics, molecular biology. A large amount of textual data is continuously produced in media around us and therefore there is a need of processing it in order to extract required information. One of the most important processin...