5 papers
Explicit bracket in the exceptional simple Lie superalgebra cvect(0|3)_*
Irina Shchepochkina, Gerhard Post
This note is devoted to a more detailed description of one of the five simple exceptional Lie superalgebras of vector fields, cvect(0|3)_*, a subalgebra of vect(4|3). We derive dif…
Differential Calculi of Poincare-Birkhoff-Witt type on Universal Enveloping Algebras
R. Martini, G. F. Post, P. H. M. Kersten
Differential calculi of Poincare-Birkhoff-Witt type on universal enveloping algebras of Lie algebras g are defined. This definition turns out to be independent of the basis chosen…
Operator Identities, Representations of Algebras and the Problem of Normal Ordering
Alexander Turbiner, Gerhard Post
Families of operator identities appeared as a consequence of an existence of finite-dimensional representation of (super) Lie algebras of first-order differential operators and …
Classification of linear differential operators with an invariant subspace of monomials
Gerhard Post, Alexander Turbiner
A complete classification of linear differential operators possessing finite-dimensional invariant subspace with a basis of monomials is presented.
On some operator identities and representations of algebras
Alexander Turbiner, Gerhard Post
Certain infinite families of operator identities related to powers of positive root generators of (super) Lie algebras of first-order differential operators and -deformed algebr…