Projective modules for the subalgebra of degree 0 in a finite-dimensional hyperalgebra of type 𝐴₁

Yoshii, Yutaka

doi:10.1090/proc/13934

Projective modules for the subalgebra of degree 0 in a finite-dimensional hyperalgebra of type $A_1$
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by Yutaka Yoshii

Proc. Amer. Math. Soc. 146 (2018), 1977-1989

DOI: https://doi.org/10.1090/proc/13934

Published electronically: January 29, 2018

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Abstract:

We describe the structure of projective indecomposable modules for the subalgebra consisting of the elements of degree 0 in the hyperalgebra of the $r$-th Frobenius kernel for the algebraic group $\textrm {SL}_2(k)$, using the primitive idempotents which were constructed before by the author.

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