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- W4300474965 abstract "We initiate the investigation of the projective variety $E(r,g)$ of elementary subalgebras of dimension $r$ of a ($p$-restricted) Lie algebra $g$ for some $r > 0$ and demonstrate that this variety encodes considerable information about the representations of $g$. For various choices of $g$ and $r$, we identify the geometric structure of $E(r,g)$. We show that special classes of (restricted) representations of $g$ lead to algebraic vector bundles on $E(r,g)$. For $g = Lie(G)$ the Lie algebra of an algebraic group $G$, rational representations of $G$ enable us to realize familiar algebraic vector bundles on $G$-orbits of $E(r, g)$." @default.
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- W4300474965 date "2012-07-25" @default.
- W4300474965 modified "2023-09-23" @default.
- W4300474965 title "Elementary subalgebras of Lie algebras" @default.
- W4300474965 doi "https://doi.org/10.48550/arxiv.1207.5898" @default.
- W4300474965 hasPublicationYear "2012" @default.
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