Bogdan Shavarovskii Department of Algebra, Pidstryhach 



November 29, 2016 at 15:05 in Lecture Room 377 
Abstract of talk
Let be the field of complex numbers and be matrices with the entries in the polynomial ring . Then is said to be semiscalarly equivalent to if there exist matrices in and in (i.e. is a nonzero complex number) such that . The semiscalarity concept is itself interesting as it occurs naturally in the various problems in the applied mathematics and engineering. However, the problem of finding a complete set of (computable) semiscalarity equivalence invariants is very difficult. In this report we are going to discuss some classes of and polynomial matrices such that it is possible to obtain the complete invariants system for their elements, and the canonical forms for such matrices with respect to semiscalar equivalence are indicated as well.