21 citations · 34 across the 4 of their papers we have counts for
4 papers
Cycles of linear and semilinear mappings
Debora Duarte de Oliveira, Vyacheslav Futorny, Tatiana Klimchuk +2
We give a canonical form of matrices of a cycle of linear or semilinear mapping V_1 --- V_2 --- ... --- V_t --- V_1 in which all V_i are complex vector spaces, each line is an arro…
A canonical form for nonderogatory matrices under unitary similarity
Vyacheslav Futorny, Roger A. Horn, Vladimir V. Sergeichuk
A square matrix is nonderogatory if its Jordan blocks have distinct eigenvalues. We give canonical forms (i) for nonderogatory complex matrices up to unitary similarity and (ii) fo…
Multiparameter Twisted Weyl Algebras
Vyacheslav Futorny, Jonas T. Hartwig
We introduce a new family of twisted generalized Weyl algebras, called multiparameter twisted Weyl algebras, for which we parametrize all simple quotients of a certain kind. Both J…
Imaginary Verma modules for the extended Affine Lie algebra
M. Dokuchaev, L. Vasconcellos Figueiredo, V. Futorny
We consider one of the most natural extended affine Lie lagebras, the algebra and begin a theory of its representations. In particular, we study a class of im…