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Geometry of Linear Algebras

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Abstract

In this paper, we consider spaces whose geometry is generated by a homogeneous function of degree m ≥ 2, which is invariant under the action of some subgroup of the linear group of the given space. A general method is proposed and examples of realization of such spaces on linear algebras are given.

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References

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Authors and Affiliations

  1. Tver State University, Tver, Russia

    I. M. Burlakov

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  1. I. M. Burlakov
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Correspondence to I. M. Burlakov.

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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 182, Proceedings of the International Conference “Classical and Modern Geometry” Dedicated to the 100th Anniversary of Professor V. T. Bazylev. Moscow, April 22-25, 2019. Part 4, 2020.

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Burlakov, I.M. Geometry of Linear Algebras. J Math Sci 277, 711–717 (2023). https://doi.org/10.1007/s10958-023-06876-2

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  • DOI: https://doi.org/10.1007/s10958-023-06876-2

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