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On the problem of geodesic mappings and deformations of generalized Riemannian spaces

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0 Published in 2017 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2017.02.069

Abstract: Abstract This paper is devoted to a study of geodesic mappings and infinitesimal geodesic deformations of generalized Riemannian spaces. While a geodesic mapping between two generalized Riemannian spaces any geodesic line of one space sends… read more here.

Keywords: geodesic mappings; riemannian spaces; deformations generalized; infinitesimal geodesic ... See more keywords

Separable deformations of the generalized quaternion group algebras

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0 Published in 2019 at "Journal of Group Theory"

DOI: 10.1515/jgth-2019-0042

Abstract: Abstract The group algebras k⁢Q2n{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 [k⁢Q2n]t{[kQ_{2^{n}}]_{t}}. The dimensions of the simple components of k⁢((t))¯⊗k⁢((t))[k⁢Q2n]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