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Exponential Matrices of Size Five-By-Five

Conference paper
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Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 319)

Abstract

In the article, we supply examples of exponential matrices in positive characteristic, and then give an overlapping classification of exponential matrices of size five-by-five in positive characteristic. In characteristic zero, we can easily classify exponential matrices up to equivalence. But, in positive characteristic, we meet difficulties of classifying exponential matrices up to equivalence. At the conference Polynomial Rings and Affine Algebraic Geometry, February 12–16, 2018, Tokyo Metropolitan University, we gave a talk about classifying exponential matrices of size four-by-four in positive characteristic, up to equivalence. So, the article can be regarded as a continuation of the talk.

Keywords

Matrix theory Modular representation theory 

Notes

Acknowledgements

The author would like to thank the referee for careful reading of the article.

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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Shizuoka UniversityShizuokaJapan

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