The problem of classification of Jordan bit-nodules over (non-semisimple) finite dimensional Jordan algebras with respect to their representation type is considered. The notions of diagram of a Jordan algebra and of Jordan ...

In this paper we classify the irreducible quasifinite highest weight modules over the orthogonaland syplectic types Lie subalgebras of the Lie algebra of the matrix quantum pseudodifferential operators. We also realize ...

In this article we study in detail algebraic properties of the algebra D(W) of differential operators associated to a matrix weight of Gegenbauer type. We prove that two secondorder operators generate the algebra, indeed ...