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
A Moving Lemma for Algebraic Cycles With Modulus and Contravariance
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DOI: 10.1093/imrn/rnz018
Abstract: We prove a moving lemma that implies the contravariance of Bloch–Esnault’s additive higher Chow group in smooth affine schemes and that of Binda–Saito’s higher Chow group (taken in the Nisnevich topology). read more here.
Keywords: lemma algebraic; algebraic cycles; modulus contravariance; cycles modulus ... See more keywords