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


Author: Yutaka Yoshii
Journal: Proc. Amer. Math. Soc. 146 (2018), 1977-1989
MSC (2010): Primary 16P10; Secondary 17B45, 20G05, 20G15
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 $ {\rm SL}_2(k)$, using the primitive idempotents which were constructed before by the author.


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Yutaka Yoshii
Affiliation: The College of Education, Ibaraki University, 2-1-1 Bunkyo, Mito, Ibaraki, 310-8512, Japan
Email: yutaka.yoshii.6174@vc.ibaraki.ac.jp

DOI: https://doi.org/10.1090/proc/13934
Keywords: Primitive idempotents, projective modules, hyperalgebras.
Received by editor(s): May 10, 2017
Received by editor(s) in revised form: August 23, 2017
Published electronically: January 29, 2018
Communicated by: Kailash Misra
Article copyright: © Copyright 2018 American Mathematical Society

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