Explicit realization of induced and coinduced modules over Lie superalgebras by differential operators

Dimitry A. Leites and Vladimir Molotkov

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Submission date: 12. Nov. 2006
Pages: 34
Bibtex
MSC-Numbers: 17B15, 17B65
Keywords and phrases: Lie superalgebra, representation
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Abstract:
Explicit realization of induced and coinduced modules over Lie superalgebras by differential operators (sometimes interpreted as realization by creation and annihilation operators) is given for the case where the module is induced or coinduced from a module over a subalgebra of finite codimension. The result extends a beautiful formula due to Issai Kantor and embraces various previous results.