Elementary divisors of s-symmetric matrices
نویسندگان
چکیده
منابع مشابه
On the Computation of Elementary Divisors of Integer Matrices
The εi are called the elementary divisors of A and à is called the Smith normal form or elementary divisors form of A. In Section 3 we give an algorithm for computing for a given matrix A, its rank r and a prime p the p-parts of the elementary divisors of A. During the algorithm we perform row operations on the matrix A which are driven by only considering certain reductions of row vectors modu...
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The elementary divisors of the Gram matrices of Specht modules S λ over the symmetric group are determined for two-row partitions and for two-column partitions λ. More precisely, the subquotients of the Jantzen filtration are calculated using Schaper's formula. Moreover, considering a general partition λ of n at a prime p > n − λ 1 , the only possible non trivial composition factor of S λ Fp is...
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Often in mathematics it is useful to summarize a multivariate phenomenon with a single number. In fact, the determinant – which is denoted by det – is one of the simplest cases and many of its properties are very well-known. For instance, the determinant is a multiplicative function, i.e. det(AB) = detA · detB, A,B ∈ Mn, and it is a multilinear function, but it is not, in general, an additive f...
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The irreducible representations of the symmetric groups and their Iwahori-Hecke algebras have been classified and constructed by James [6] and Dipper and James [2], yet simple properties of these modules, such as their dimensions, are still not known. Every irreducible representation of these algebras is constructed by quotienting out the radical of a bilinear form on a particular type of modul...
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In this paper we introduce a special form of symmetric matrices that is called central symmetric $X$-form matrix and study some properties, the inverse eigenvalue problem and inverse singular value problem for these matrices.
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1987
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(87)90327-2