6 papers · 1 filter
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 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…
Harish-Chandra modules for Yangians
Vyacheslav Futorny, Alexander Molev, Serge Ovsienko
We study Harish-Chandra representations of Yangian for gl(2). We prove an analogue of Kostant theorem showing that resterited Yangians for gl(2) are free modules over certain maxim…
Derived categories of Schur algebras
Viktor Bekkert, Vyacheslav Futorny
We classify the derived tame Schur and infinitesimal Schur algebras and describe indecomposable objects in their derived categories.