On the theory of Frobenius extensions and its application to Lie superalgebras

Bell, Allen D.; Farnsteiner, Rolf

doi:10.1090/S0002-9947-1993-1097163-5

On the theory of Frobenius extensions and its application to Lie superalgebras
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by Allen D. Bell and Rolf Farnsteiner PDF

Trans. Amer. Math. Soc. 335 (1993), 407-424 Request permission

Abstract:

By using an approach to the theory of Frobenius extensions that emphasizes notions related to associative forms, we obtain results concerning the trace and corestriction mappings and transitivity. These are employed to show that the extension of enveloping algebras determined by a subalgebra of a Lie superalgebra is a Frobenius extension, and to study certain questions in representation theory.

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