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On the Theory of Frobenius Extensions and its Application to Lie Superalgebras

Allen D. Bell and Rolf Farnsteiner
Transactions of the American Mathematical Society
Vol. 335, No. 1 (Jan., 1993), pp. 407-424
DOI: 10.2307/2154275
Stable URL: http://www.jstor.org/stable/2154275
Page Count: 18
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On the Theory of Frobenius Extensions and its Application to Lie Superalgebras
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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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