Reducible $p$-representations of a simple three-dimensional Lie $p$-algebra
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (1982), pp. 45-49
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We study the category $\mathscr{P}$ of restricted finite-dimensional representations of the simple $3$-dimensional Lie algebra $L$. We show that $\mathscr{P}$ is equivalent to the sum of some categories of diagrams over finite dimensional vector spaces. We find the indecomposable objects in the latter categories. Thus we obtain a classification of indecomposable restricted representations of $L$ and an effective method of their construction.
@article{VMUMM_1982_6_a9,
author = {A. N. Rudakov},
title = {Reducible $p$-representations of a simple three-dimensional {Lie} $p$-algebra},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {45--49},
year = {1982},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_1982_6_a9/}
}
A. N. Rudakov. Reducible $p$-representations of a simple three-dimensional Lie $p$-algebra. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (1982), pp. 45-49. http://geodesic.mathdoc.fr/item/VMUMM_1982_6_a9/