Separable deformations of the generalized quaternion group algebras
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DOI: 10.1515/jgth-2019-0042
Abstract: Abstract The group algebras kQ2n{kQ_{2^{n}}} of the generalized quaternion groups Q2n{Q_{2^{n}}} over fields k which contain ????2n-2{\mathbb{F}_{2^{n-2}}} are deformed to separable k((t)){k((t))}-algebras [kQ2n]t{[kQ_{2^{n}}]_{t}}. The dimensions of the simple components of k((t))¯⊗k((t))[kQ2n]t{\overline{k((t))}\otimes_{k((t))}[kQ_{2^{n}}]_{t}} over the algebraic closure… read more here.
Keywords: generalized quaternion; group algebras; deformations generalized; group ... See more keywords