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- W4200629877 abstract "Let $G$ be a connected reductive algebraic group over an algebraically closed field $mathbf{k}$, and let Lie$(G)$ be its associated Lie algebra. In his series of papers on unipotent elements in small characteristic, Lusztig defined a partition of the unipotent variety of $G$. This partition is very useful when working with representations of $G$. Equivalently, one can consider certain subsets of the nilpotent variety of Lie$(G)$ called pieces. This approach appears in Lusztig's article from 2011. The pieces for the exceptional groups of type $G_2$, $F_4$, $E_6$, $E_7$, and $E_8$ in bad characteristic have not yet been determined. This article presents a solution, relying on computational techniques, to this problem for groups of type $G_2$, $F_4$, and $E_6$." @default.
- W4200629877 created "2021-12-31" @default.
- W4200629877 creator A5038284294 @default.
- W4200629877 date "2021-12-08" @default.
- W4200629877 modified "2023-09-29" @default.
- W4200629877 title "On the computation of the nilpotent pieces in bad characteristic for algebraic groups of type $G_2$, $F_4$, and $E_6$" @default.
- W4200629877 doi "https://doi.org/10.48550/arxiv.2112.04259" @default.
- W4200629877 hasPublicationYear "2021" @default.
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