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- W4301056781 abstract "Let $mathfrak{g}$ be a semisimple complex Lie algebra. Recently, Lusztig simplified the traditional construction of the corresponding Chevalley groups (of adjoint type) using the canonical basis of the adjoint representation of~$mathfrak{g}$. Here, we present a variation of this idea which leads to a new, and quite elementary construction of~$mathfrak{g}$ itself from its root system. An additional feature of this set-up is that it also gives rise to explicit Chevalley bases of $mathfrak{g}$." @default.
- W4301056781 created "2022-10-04" @default.
- W4301056781 creator A5024460807 @default.
- W4301056781 date "2016-02-15" @default.
- W4301056781 modified "2023-10-18" @default.
- W4301056781 title "On the construction of semisimple Lie algebras and Chevalley groups" @default.
- W4301056781 doi "https://doi.org/10.48550/arxiv.1602.04583" @default.
- W4301056781 hasPublicationYear "2016" @default.
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