Semisimplicity of the DS functor for the orthosymplectic Lie superalgebra
نویسندگان
چکیده
We prove that the Duflo-Serganova functor DSx attached to an odd nilpotent element x of osp(m|2n) is semisimple, i.e. sends a semisimple representation M osp(m−2k|2n−2k) where k rank x. closed formula for DSx(L(λ)) in terms arc diagram λ.
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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.2021.108012