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

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 ${\mathrm{SL}}_2(k)$, using the primitive idempotents which were constructed before by the author.

14 pages

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