41 citations · 548 across the 118 of their papers we have counts for
6 papers · 1 filter
On Moduli Spaces for Abelian Categories
Vyacheslav Futorny, Marcos Jardim, Adriano Moura
We show that if A is an abelian category satisfying certain mild conditions, then one can introduce the concept of a moduli space of (semi)stable objects which has the structure of…
Gelfand-Tsetlin bases for representations of finite W-algebras and shifted Yangians
V. Futorny, A. Molev, S. Ovsienko
Remarkable subalgebras of the Yangian for gl_n called the shifted Yangians were introduced in a recent work by Brundan and Kleshchev in relation to their study of finite W-algebras…
Classification of squared normal operators on unitary and Euclidean spaces
Vyacheslav Futorny, Roger A. Horn, Vladimir V. Sergeichuk
We give a canonical form for a complex matrix, whose square is normal, under transformations of unitary similarity as well as a canonical form for a real matrix, whose square is no…
Classification of sesquilinear forms with the first argument on a subspace or a factor space
Vyacheslav Futorny, Vladimir V. Sergeichuk
We give canonical matrices of bilinear or sesquilinear forms UxV-->C, (V/U)xV-->C, in which V is a vector space over the field C of complex numbers and U is its subspace.
Tridiagonal canonical matrices of bilinear or sesquilinear forms and of pairs of symmetric, skew-symmetric, or Hermitian forms
Vyacheslav Futorny, Roger A. Horn, Vladimir V. Sergeichuk
Tridiagonal canonical forms of square matrices under congruence or *congruence, pairs of symmetric or skew-symmetric matrices under congruence, and pairs of Hermitian matrices unde…
Positivity criteria generalizing the leading principal minors criterion
Vyacheslav Futorny, Vladimir V. Sergeichuk, Nadya Zharko
For each Hermitian matrix, we prove that instead of the leading principal minors some of their sums can be used in the leading principal minors criterion and in other inertia probl…