12 citations · 33 across the 10 of their papers we have counts for
10 papers
Hasse--Schmidt Derivations and Cayley--Hamilton Theorem for Exterior Algebras
Letterio Gatto, Inna Scherbak
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--H…
Remarks on the Cayley-Hamilton Theorem
Letterio Gatto, Inna Scherbak
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 der…
Linear ODEs, Wronskians and Schubert Calculus
Letterio Gatto, Inna Scherbak
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…
Intersections of Schubert varieties and highest weight vectors in tensor products of sl_{N+1}-representations
I. Scherbak
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…
On Bethe vectors in the sl_{N+1} Gaudin model
S. Chmutov, I. Scherbak
The note deals with the Gaudin model associated with the tensor product of n irreducible finite-dimensional sl_{N+1}-modules marked by distinct complex numbers z_1,..., z_n. The Be…
Gaudin's model and the generating function of the Wronski map
I. Scherbak
We consider the Gaudin model associated to a point z in C^n with pairwise distinct coordinates and to the subspace of singular vectors of a given weight in the tensor product of ir…