TY - JOUR

T1 - On pairs of matrices that satisfy certain polynomial identities

AU - Fernandes, Maria do Rosário Silva Franco

PY - 2012/1/1

Y1 - 2012/1/1

N2 - Let F be an arbitrary field, H be a subgroup of the symmetric group of degree m, Sm, λ be an irreducible F-valued character of H and dH λ be the generalizedmatrix function associated toH and λ. In this note we present some properties of the pairs (A, B) of m × m matrices over F that satisfy dH λ (AXB) = dH λ (X) for all X.We also describe the pairs (A, B) satisfying dH λ (AX) = dH λ (XB) for all X.

AB - Let F be an arbitrary field, H be a subgroup of the symmetric group of degree m, Sm, λ be an irreducible F-valued character of H and dH λ be the generalizedmatrix function associated toH and λ. In this note we present some properties of the pairs (A, B) of m × m matrices over F that satisfy dH λ (AXB) = dH λ (X) for all X.We also describe the pairs (A, B) satisfying dH λ (AX) = dH λ (XB) for all X.

U2 - 10.1016/j.laa.2011.09.025

DO - 10.1016/j.laa.2011.09.025

M3 - Article

VL - 436

SP - 1589

EP - 1605

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

SN - 0024-3795

IS - 6

ER -