On the discriminant of twisted tensor products

We provide formulas for computing the discriminant of noncommutative algebras over central subalgebras in the case of Ore extensions and skew group extensions. The formulas follow from a more general result regarding the discriminants of certain twisted tensor products. We employ our formulas to com...

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Bibliographic Details
Published in:Journal of algebra 2017-05, Vol.477, p.29-55
Main Authors: Gaddis, Jason, Kirkman, Ellen, Moore, W. Frank
Format: Article
Language:English
Subjects:
Automorphism group
Discriminant
Ore extension
Skew group ring
Twisted tensor product
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Summary:We provide formulas for computing the discriminant of noncommutative algebras over central subalgebras in the case of Ore extensions and skew group extensions. The formulas follow from a more general result regarding the discriminants of certain twisted tensor products. We employ our formulas to compute automorphism groups for examples in each case.
ISSN:0021-8693
1090-266X
DOI:10.1016/j.jalgebra.2016.12.019