论文标题
关于Duflo-Serganova函子的对称性
On symmetries of the Duflo-Serganova functor
论文作者
论文摘要
我们讨论了有关Duflo-Serganova函子对称性的几点。特别是,我们给出了对duflo-serganova函数作用的谎言超级骨架,谎言超级组和关联超级肌的新结构。我们将工作与Heidersdorf和Weissauer的计算联系起来,该计算为$ gl(n | n)$的kac-modules上的最大等级$ x $计算$ ds_x $,并将想法和结果扩展到$ p(n)$。
We discuss several points regarding symmetries of the Duflo-Serganova functor. In particular we give new constructions of Lie superalgebras, Lie supergroups, and associative superalgebras which act on the Duflo-Serganova functor. We connect our work to a computation of Heidersdorf and Weissauer which computed $DS_x$ for a maximal rank $x$ on Kac-modules for $GL(n|n)$, and extend the ideas and results to $P(n)$.