Jacobson-Morozov Lemma for algebraic supergroups
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DOI: 10.1016/j.aim.2022.108240
Abstract: Given a quasi-reductive algebraic supergroup $G$, we use the theory of semisimplifications of symmetric monoidal categories to define a symmetric monoidal functor $\Phi_x: \Rep(G) \to \Rep(OSp(1|2))$ associated to any given element $x \in \mathrm{Lie}(G)_{\bar 1}$.… read more here.
Keywords: morozov lemma; lemma algebraic; algebraic supergroups; jacobson morozov ... See more keywords