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
SN - 0024-3795
VL - 436
SP - 1589
EP - 1605
JO - Linear Algebra and its Applications
JF - Linear Algebra and its Applications
IS - 6
ER -