AbstractLet H be a subgroup of the symmetric group of degree m and let χ be an irreducible character of H. In this paper we give conditions that characterize the pairs of matrices that leave invariant the value of a generalized matrix function associated with H and χ, on the set of the upper triangular matrices
AbstractMirsky proved that, for the existence of a complex matrix with given eigenvalues and diagona...
AbstractThe problem of finding all the n×n complex matrices A,B,C such that, for all real t, etA+etB...
summary:Let $V$ be the complex vector space of homogeneous linear polynomials in the variables $x_{1...
AbstractLet H be a subgroup of the symmetric group Sn and χ an irreducible character of H. In this p...
AbstractLet F be an arbitrary field, H be a subgroup of the symmetric group of degree m, Sm, λ be an...
AbstractWe generalize a result in [G. Dolinar, P. Semrl, Determinant preserving maps on matrix algeb...
AbstractWe completely describe the determinants of the sum of orbits of two real skew symmetric matr...
AbstractLet Mn be the space of all n×n complex matrices and Tn the subset of Mn consisting of all up...
AbstractLet V be an n-dimensional inner product space over C, and let H be a subgroup of the symmetr...
AbstractLet K be any field and G be a finite subgroup of GLn(K). Then G acts on the rational functio...
AbstractLet A be n×n matrix of rank r. Then xn−r divides the characteristic polynomial det(xI−A) of ...
AbstractIf A and B are n×n nonsingular M-matrices, a lower bound on the smallest eigenvalue τ(A☆B) f...
AbstractLet A=(aij) be an n×n complex matrix. For any real μ, define the polynomialPμ(A)=∑σ∈Sna1σ(1)...
We study the irreducible representations of the symmetric group n over a eld F of positive characte...
AbstractA generalized matrix version of reverse Cauchy–Schwarz/Hölder inequality is proved. This inc...
AbstractMirsky proved that, for the existence of a complex matrix with given eigenvalues and diagona...
AbstractThe problem of finding all the n×n complex matrices A,B,C such that, for all real t, etA+etB...
summary:Let $V$ be the complex vector space of homogeneous linear polynomials in the variables $x_{1...
AbstractLet H be a subgroup of the symmetric group Sn and χ an irreducible character of H. In this p...
AbstractLet F be an arbitrary field, H be a subgroup of the symmetric group of degree m, Sm, λ be an...
AbstractWe generalize a result in [G. Dolinar, P. Semrl, Determinant preserving maps on matrix algeb...
AbstractWe completely describe the determinants of the sum of orbits of two real skew symmetric matr...
AbstractLet Mn be the space of all n×n complex matrices and Tn the subset of Mn consisting of all up...
AbstractLet V be an n-dimensional inner product space over C, and let H be a subgroup of the symmetr...
AbstractLet K be any field and G be a finite subgroup of GLn(K). Then G acts on the rational functio...
AbstractLet A be n×n matrix of rank r. Then xn−r divides the characteristic polynomial det(xI−A) of ...
AbstractIf A and B are n×n nonsingular M-matrices, a lower bound on the smallest eigenvalue τ(A☆B) f...
AbstractLet A=(aij) be an n×n complex matrix. For any real μ, define the polynomialPμ(A)=∑σ∈Sna1σ(1)...
We study the irreducible representations of the symmetric group n over a eld F of positive characte...
AbstractA generalized matrix version of reverse Cauchy–Schwarz/Hölder inequality is proved. This inc...
AbstractMirsky proved that, for the existence of a complex matrix with given eigenvalues and diagona...
AbstractThe problem of finding all the n×n complex matrices A,B,C such that, for all real t, etA+etB...
summary:Let $V$ be the complex vector space of homogeneous linear polynomials in the variables $x_{1...
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