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- W1508722034 abstract "In this paper we explore relationship between representations of a Jordan algebra $J$ and the Lie algebra $g$ obtained from $J$ by the Tits-Kantor-Koecher construction. More precisely, we construct two adjoint functors $Lie :JJto ggm$ and $Jor:ggmtoJJ$, where $JJ$ is the category of unital $J$-bimodules and $ggm$ is the category of $g$-modules admitting a short grading. Using these functors we classify $J$ such that its semisimple part is of Clifford type and the category $JJ$ is tame." @default.
- W1508722034 created "2016-06-24" @default.
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- W1508722034 date "2015-02-26" @default.
- W1508722034 modified "2023-09-27" @default.
- W1508722034 title "On the Tits-Kantor-Koecher construction of unital Jordan bimodules" @default.
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