arXiv subjects

Gerhard Post

Publications and source records attributed to Gerhard Post.

4 recordsLinked to original sources

arXiv1997

Explicit bracket in the exceptional simple Lie superalgebra cvect(0|3)_*

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 differential equations for its elements, and solve these equations. Hence we get an exact form for the elements of cvect(0|3)_*. Moreover we realize cvect(0|3)_* by "glued" pairs of generating functions on a (3|3)-dimensional periplectic (odd symplectic) supermanifold and describe the bracket explicitly.

math-ph↗

arXiv1993

Operator Identities, Representations of Algebras and the Problem of Normal Ordering

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 $q$-deformed (quantum) algebras of first-order finite-difference operators are presented. It is shown that those identities can be rewritten in terms of creation/annihilation operators and it leads to a simplification of the problem of the normal ordering in the second quantization method.

hep-th↗

arXiv1993

Classification of linear differential operators with an invariant subspace of monomials

A complete classification of linear differential operators possessing finite-dimensional invariant subspace with a basis of monomials is presented.

funct-an↗

arXiv1993

On some operator identities and representations of algebras

Certain infinite families of operator identities related to powers of positive root generators of (super) Lie algebras of first-order differential operators and $q$-deformed algebras of first-order finite-difference operators are presented.

funct-an↗