Some Results on Certain Finite-Dimensional Subalgebras of the Hyperalgebra of a Universal Chevalley Group

Y. Yoshii

doi:10.5802/jolt.1258

Y. Yoshii

Journal of Lie Theory, Volume 32 (2022) no. 4, pp. 899-916

Abstract

In the hyperalgebra of the r-th Frobenius kernel of a universal Chevalley group over a field of characteristic p > 0, we study some subsets and the subalgebras generated by them and give some results. We are particularly interested in the case that p is 'very small' and the Dynkin diagram is not simply-laced.

arXiv Zbl

DOI: 10.5802/jolt.1258

Classification: 17B35, 17B45
Keywords: Universal Chevalley groups, hyperalgebras, root systems, generating sets

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     author = {Y. Yoshii},
     title = {Some {Results} on {Certain} {Finite-Dimensional} {Subalgebras} of the {Hyperalgebra} of a {Universal} {Chevalley} {Group}},
     journal = {Journal of Lie Theory},
     pages = {899--916},
     year = {2022},
     volume = {32},
     number = {4},
     doi = {10.5802/jolt.1258},
     zbl = {1531.16018},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1258/}
}

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Y. Yoshii. Some Results on Certain Finite-Dimensional Subalgebras of the Hyperalgebra of a Universal Chevalley Group. Journal of Lie Theory, Volume 32 (2022) no. 4, pp. 899-916. doi: 10.5802/jolt.1258

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