Jacobson-Morozov Lemma for algebraic supergroups
نویسندگان
چکیده
Given a quasi-reductive algebraic supergroup G , we use the theory of semisimplifications symmetric monoidal categories to define functor ? x : Rep ( ) ? O S p 1 | 2 associated any given element ? Lie ¯ . For nilpotent elements show that can be defined using Deligne filtration We this approach prove an analogue Jacobson-Morozov Lemma for supergroups. Namely, give necessary and sufficient condition on odd which embedding supergroups so lies in image corresponding algebra homomorphism.
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2022
ISSN: ['1857-8365', '1857-8438']
DOI: https://doi.org/10.1016/j.aim.2022.108240