Abstract (EN):
The collections of m n-by-n matrices over a field such that the products in any of the m! orders share a common similarity class (resp. spectrum, trace) are studied. The spectral and trace order invariant properties are characterized and the similarity invariant one is related to them in several cases. A complete explicit description is given in case m = 3 and n = 2.
Language:
English
Type (Professor's evaluation):
Scientific
No. of pages:
11