170 citations
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25 papers · 1 filter
Derived tame local and two-point algebras
Viktor Bekkert, Yuriy Drozd, Vyacheslav Futorny
We determine derived representation type of complete finitely generated local and two-point algebras over an algebraically closed field.
Pairs of mutually annihilating operators
Vitalij M. Bondarenko, Tatiana G. Gerasimova, Vladimir V. Sergeichuk
Pairs (A,B) of mutually annihilating operators AB=BA=0 on a finite dimensional vector space over an algebraically closed field were classified by Gelfand and Ponomarev [Russian Mat…
Classification problems for system of forms and linear mappings
Vladimir V. Sergeichuk
We devise a method that reduces the problem of classifying systems of forms and linear mappings to the problem of classifying systems of linear mappings. Canonical matrices of (i)…
Generic canonical form of pairs of matrices with zeros
Tatyana N. Gaiduk, Vladimir V. Sergeichuk
We consider a family of pairs of m-by-p and m-by-q matrices, in which some entries are required to be zero and the others are arbitrary, with respect to transformations (A,B)--> (S…
Generic families of matrix pencils and their bifurcation diagrams
M. Isabel Garcia-Planas, Vladimir V. Sergeichuk
V. I. Arnold [Russian Math. Surveys 26, no. 2, 1971, 29-43] constructed smooth generic families of matrices with respect to similarity transformations depending smoothly on the ent…
Canonical matrices of isometric operators on indefinite inner product spaces
Vladimir V. Sergeichuk
We give canonical matrices of a pair (A,B) consisting of a nondegenerate form B and a linear operator A satisfying B(Ax,Ay)=B(x,y) on a vector space over F in the following cases:…