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Equivariant one-parameter deformations of associative algebra morphisms

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Abstract

We introduce equivariant formal deformation theory of associative algebra morphisms. We also present an equivariant deformation cohomology of associative algebra morphisms and using this we study the equivariant formal deformation theory of associative algebra morphisms. We discuss some examples of equivariant deformations and use the Maurer-Cartan equation to characterize equivariant deformations.

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Acknowledgement

I acknowledge the valuable suggestions received from the reviewer to improve this article.

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  1. Department of Mathematics, Sikkim University, 737102, Sikkim, India

    Raj Bhawan Yadav

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  1. Raj Bhawan Yadav
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Correspondence to Raj Bhawan Yadav.

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Yadav, R.B. Equivariant one-parameter deformations of associative algebra morphisms. Czech Math J 73, 675–694 (2023). https://doi.org/10.21136/CMJ.2023.0171-22

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  • DOI: https://doi.org/10.21136/CMJ.2023.0171-22

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