首页|Dispersing representations of semi-simple subalgebras of complex matrices
Dispersing representations of semi-simple subalgebras of complex matrices
扫码查看
点击上方二维码区域，可以放大扫码查看
原文链接
NSTL
Elsevier
In this paper we consider the problem of determining the maximum dimension of P-perpendicular to(A circle plus B)P, where Aand Bare unital, semi-simple subalgebras of the set M-n of n x n complex matrices, and P is an element of M-2n is a projection of rank n. We exhibit a number of equivalent formulations of this problem, including the one which occupies the majority of the paper, namely: determine the minimum dimension of the space A boolean AND S-1BS, where Sis allowed to range over the invertible group GL( n, C) of M-n. This problem in turn is seen to be equivalent to the problem of finding two automorphisms aand beta of M-n for which the dimension of alpha(A) + beta(B) is maximised. It is this phenomenon which gives rise to the title of the paper. (C) 2022 Elsevier Inc. All rights reserved.
Maximal off-diagonal dimensionMinimal intersectionSemi-simple subalgebras of matrix algebrasDispersionOPERATORS
NSTL
Elsevier
