Explicit Realization of Induced and Coinduced modules over Lie Superalgebras by Differential Operators

Details Explicit Realization of Induced and Coinduced modules over Lie Superalgebras by Differential Operators Explicit Realization of Induced and Coinduced modules over Lie Superalgebras by Differential Operators

2005-09-05

arxiv.org/abs/math/0509105v2

Mathematics

Representation Theory

32 pages, minor changes and typo corrections

Scientific paper

In this article are given explicit expressions for differential operators representing the action of any element of any Lie superalgebra g on a module induced or coinduced from an h-module V, where h is any subsuperalgebra of g. For the special case where g=g_+h, and g_ is a finite-dimensional subsuperalgebra of g, whose adjoint action on g is nilpotent, there is given a practical algorithm of calculation of this action. The program in C++ making the calculations for this case is also written.

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