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MiS Preprint
129/2006

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

Dimitry A. Leites and Vladimir Molotkov

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.

Received:
Nov 12, 2006
Published:
Nov 12, 2006
MSC Codes:
17B15, 17B65
Keywords:
Lie superalgebra, representation

Related publications

Preprint
2006 Repository Open Access
D. A. Leites and Vladimir Molotkov

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