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Journal of Lie Theory 32 (2022), No. 4, 899--916
Copyright Heldermann Verlag 2022

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

Yutaka Yoshii
Mito, Ibaraki 310-8512, Japan

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.

Keywords: Universal Chevalley groups, hyperalgebras, root systems, generating sets.

MSC: 17B35, 17B45.

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