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- W1995099706 abstract "Abstract We use [11] to study the algebra structure of twisted cotriangular Hopf algebras ${}_Jmathcal{O}(G)_{J}$, where $J$ is a Hopf $2$-cocycle for a connected nilpotent algebraic group $G$ over $mathbb{C}$. In particular, we show that ${}_Jmathcal{O}(G)_{J}$ is an affine Noetherian domain with Gelfand–Kirillov dimension $dim (G)$, and that if $G$ is unipotent and $J$ is supported on $G$, then ${}_Jmathcal{O}(G)_{J}cong U({mathfrak{g}})$ as algebras, where ${mathfrak{g}}={textrm{Lie}}(G)$. We also determine the finite dimensional irreducible representations of ${}_Jmathcal{O}(G)_{J}$, by analyzing twisted function algebras on $(H,H)$-double cosets of the support $Hsubset G$ of $J$. Finally, we work out several examples to illustrate our results." @default.
- W1995099706 created "2016-06-24" @default.
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- W1995099706 date "2021-02-01" @default.
- W1995099706 modified "2023-09-26" @default.
- W1995099706 title "Twisting of affine algebraic groups, II" @default.
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- W1995099706 doi "https://doi.org/10.1093/imrn/rnaa381" @default.
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