58 citations · 133 across the 18 of their papers we have counts for
6 papers · 1 filter
Congruence of multilinear forms
Genrich R. Belitskii, Vladimir V. Sergeichuk
It is known that if A and B are two n-by-n complex matrices and (A,A^T) is simultaneously equivalent to (B,B^T), then A is congruent to B. We extend this statement to multilinear f…
Canonical form of m-by-2-by-2 matrices over a field of characteristic other than two
Genrich Belitskii, Maxim Bershadsky, Vladimir V. Sergeichuk
We give a canonical form of m-by-2-by-2 matrices for equivalence over any field of characteristic not two.
Complexity of matrix problems
Genrich R. Belitskii, Vladimir V. Sergeichuk
In representation theory, the problem of classifying pairs of matrices up to simultaneous similarity is used as a measure of complexity; classification problems containing it are c…
Normal form of m-by-n-by-2 matrices for equivalence
Genrich Belitskii, Maxim Bershadsky, Vladimir V. Sergeichuk
We give a canonical form of m-by-2-by-2 spatial matrices for equivalence over any field.
Problems of classifying associative or Lie algebras and triples of symmetric or skew-symmetric matrices are wild
Genrich Belitskii, Ruvim Lipyanski, Vladimir V. Sergeichuk
We prove that the problems of classifying triples of symmetric or skew-symmetric matrices up to congruence, local commutative associative algebras with zero cube radical and square…
The problems of classifying pairs of forms and local algebras with zero cube radical are wild
Genrich Belitskii, Vitalij M. Bondarenko, Ruvim Lipyanski +2
We prove that over an algebraically closed field of characteristic not two the problems of classifying pairs of sesquilinear forms in which the second is Hermitian, pairs of biline…