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arXiv · 2310.18984

A basis of a certain module for the hyperalgebra $({\rm SL}_2)_r$ and some applications

Yutaka Yoshii
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Abstract

In the hyperalgebra $\mathcal{U}_r$ of the $r$-th Frobenius kernel $({\rm SL}_2)_r$ of the algebraic group ${\rm SL}_2$, we construct a basis of the $\mathcal{U}_r$-module generated by a certain element which was given by the author before. As its applications, we also prove some results on the $\mathcal{U}_r$-modules and the algebra $\mathcal{U}_r$.

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Yutaka Yoshii. 2023-10-29. A basis of a certain module for the hyperalgebra $({\rm SL}_2)_r$ and some applications. https://doi.org/10.1142/s0219498822501845

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