670 citations · 3.3k across the 47 of their papers we have counts for
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Singular degree of a rational matrix pseudodifferential operator
Sylvain Carpentier, Alberto De Sole, Victor G. kac
In our previous work we studied minimal fractional decompositions of a rational matrix pseudodifferential operator: H=A/B, where A and B are matrix differential operators, and B is…
On classical finite and affine W-algebras
Alberto De Sole
This paper is meant to be a short review and summary of recent results on the structure of finite and affine classical W-algebras, and the application of the latter to the theory o…
Some remarks on non-commutative principal ideal rings
Sylvain Carpentier, Alberto De Sole, Victor G. Kac
We prove some algebraic results on the ring of matrix differential operators over a differential field in the generality of non-commutative principal ideal rings. These results are…
A new approach to the Lenard-Magri scheme of integrability
Alberto De Sole, Victor G. Kac, Refik Turhan
We develop a new approach to the Lenard-Magri scheme of integrability of bi-Hamiltonian PDE's, when one of the Poisson structures is a strongly skew-adjoint differential operator.