# Inna Scherbak

Publications18

Citations44

Influential Citations4

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- Inna Scherbak
- 2004

There is a correspondence between highest weight vectors in the tensor product of finite-dimensional irreducible sl(N+1)-modules marked by distinct complex numbers, on the one hand, and elements of… (More)

We revisit the classical theorem by Cayley and Hamilton, "{\em each endomorphism is a root of its own characteristic polynomial}", from the point of view of {\em Hasse--Schmidt derivations on an… (More)

Singularities on a space with a fixed collection of subspaces are studied. Homological objects for the singularities are constructed. A Lagrange transformation of the singularities is defined. It is… (More)

The Wronski determinant (Wronskian), usually introduced in standard courses in Ordinary Differential Equations (ODE), is a very useful tool in algebraic geometry to detect ramification loci of linear… (More)

This article is devoted to V.I. Arnold, a famous mathematician who passed away in June 2010. We discuss life and times of Arnold, and review some of his seminal contributions to symplectic geometry… (More)

Let a second order Fuchsian differential equation with only univalued solutions have finite singular points at z_1, ..., z_n with exponents (a_1,b_1), ..., (a_n,b_n). Let the exponents at infinity be… (More)

For a linear ODE with indeterminate coefficients,we explicitly exhibit a fundamental system of solutions in terms of the coefficients. We show that the generalized Wronskians of the fundamental… (More)

- Sergei Chmutov, M. Karev, +11 authors A. Vershik
- 2016

Using the natural notion of {\em Hasse--Schmidt derivations on an exterior algebra}, we relate two classical and seemingly unrelated subjects. The first is the celebrated Cayley--Hamilton theorem of… (More)

- Inna Scherbak
- 2002

Heine and Stieltjes in their studies of linear second-order differential equations with polynomial coefficients having a polynomial solution of a preassigned degree, discovered that the roots of such… (More)