A bstract We consider the twistor description of classical self-dual Einstein gravity in the
presence of a defect operator wrap** a certain ℂℙ 1. The backreaction of this defect …

The main objective of this work is to construct and classify the most general classical and
quantum N= 1 W∞-algebras generated by the same spins as the singlet algebra of N …

In this paper, we propose an alternative construction of a certain class of Deformed Double
Current Algebras. We construct them as spherical subalgebras of symplectic reection …

We completely characterize all nonlinear partial differential equations leaving a given finite-
dimensional vector space of analytic functions invariant. Existence of an invariant subspace …

gl(λ) and differential operators preserving polynomials Page 1 Acta Appticandae
Mathematicae 44: 257-268, 1996. 257 @ 1996 Kluwer Academic Publishers. Printed in the …

We distinguish a class of simple filtered Lie algebras L U_ g (λ) of polynomial growth whose
associated graded Lie algebras are not simple. We describe presentations of such algebras …

We prove that the scalar and 2× 2 matrix differential operators which preserve the simplest
scalar and vector-valued polynomial modules in two variables have a fundamental Lie …

We consider integrability structures of the generalized Hunter–Saxton equation. We obtain
the Lax representation with non-removable spectral parameter, find local recursion …

The present paper introduces a method of basis transformation of a vector space that is
specifically applicable to polynomials space and differential equations with certain …

In this paper, we study Lie superalgebras of matrix-valued first-order differential operators on
the complex line. We first completely classify all such superalgebras of finite dimension …