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.

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• The finite dual coalgebra as a quantization of the maximal spectrum
• Morita cancellation problem
• Dual coalgebras of twisted tensor products
• Automorphisms for Some "symmetric" Multiparameter Quantized Weyl Algebras and Their Localizations