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In this section we collect some well-known facts on linear Poisson structures and Lie algebroids in order to fix our notation. For details see e.g.. This also motivates the notion

In the simplest case of r = 2 we write down the Poisson structures on this space and on the spaces of representatives for the BV system (Propositions 2 and 4 ) and compare them

We describe a num- ber of relationships between the vacuum Verma module of a Virasoro algebra and the Deligne exceptional series of Lie algebras and also some exceptional finite

Both algebras are presented by generators and relations, the first has a representation by q -difference operators on the space of symmetric Laurent polynomials in z and the second

[3] Castro M., Gr¨ unbaum F.A., The algebra of matrix valued differential operators associated to a given family of matrix valued orthogonal polynomials: five instructive examples,

Moreover, the complex projection of quasianti-Hermitian quaternionic dynamics is considered in Section 4, where the subclass of quasianti-Hermitian quaternionic Hamiltonian

When the higher dimensional conformal tensor vanishes because the space is conformallly flat, the lower-dimensional Kaluza–Klein func- tions satisfy equations that coincide with

Key words: algebraic curvature tensor; anti-self-dual; conformal Jacobi operator; confor- mal Osserman manifold; Jacobi operator; Jacobi–Tsankov; Jacobi–Videv; mixed-Tsankov;