On the discriminant of twisted tensor products

Abstract

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.

References in corpus (3)

• Discriminant Formulas and Applications
• On the unitary representations of the affine $ax+b$-group, $\widehat{sl}(2,\mathbb{R})$ and their relatives
• Discriminants and Automorphism Groups of Veronese subrings of skew polynomial rings

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