Some Results on Certain Finite-Dimensional Subalgebras of the Hyperalgebra of a Universal Chevalley Group
Journal of Lie theory, Tome 32 (2022) no. 4, pp. 899-916
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.
Classification :
17B35, 17B45
Mots-clés : Universal Chevalley groups, hyperalgebras, root systems, generating sets
Mots-clés : Universal Chevalley groups, hyperalgebras, root systems, generating sets
@article{JLT_2022_32_4_JLT_2022_32_4_a0,
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},
url = {http://geodesic.mathdoc.fr/item/JLT_2022_32_4_JLT_2022_32_4_a0/}
}
TY - JOUR AU - Y. Yoshii TI - Some Results on Certain Finite-Dimensional Subalgebras of the Hyperalgebra of a Universal Chevalley Group JO - Journal of Lie theory PY - 2022 SP - 899 EP - 916 VL - 32 IS - 4 UR - http://geodesic.mathdoc.fr/item/JLT_2022_32_4_JLT_2022_32_4_a0/ ID - JLT_2022_32_4_JLT_2022_32_4_a0 ER -
Y. Yoshii. Some Results on Certain Finite-Dimensional Subalgebras of the Hyperalgebra of a Universal Chevalley Group. Journal of Lie theory, Tome 32 (2022) no. 4, pp. 899-916. http://geodesic.mathdoc.fr/item/JLT_2022_32_4_JLT_2022_32_4_a0/