Abstract (EN):
For A epsilon M-n (C), Aut(A), the congruential automorphism group of A, is the set of all non-singular C epsilon M-n(C) such that C*AC = A. Here, the A for which Aut(A) is bounded are described, and this allows the characterization of pairs A, B for which the set of matrices carrying the congruence of A to B is compact. This characterization is in terms of non-singular unitoid matrices in which certain configurations of canonical angles are forbidden.
Language:
English
Type (Professor's evaluation):
Scientific
No. of pages:
8