论文标题
在Duflo-Serganova函子上，酷儿谎言
On the Duflo-Serganova functor for the queer Lie superalgebra
论文作者
论文摘要
我们研究了duflo-serganova functor $ \ permatatorName {ds} _x $ for y lie lie superalgebra $ \ mathfrak {q} _n $，对于所有奇数$ x $，带有$ [x，x，x] $ semisimple。对于$ x $的排名为$ 1 $的情况，我们就附加到$λ$的弧度图给出了倍数的公式。此外，我们证明$ \ operatatorName {ds} _x（l）$是半imple，如果$ l $是一个简单的有限维模块，而$ x $的等级为$ 1 $满足$ x^2 = 0 $。
We study the Duflo-Serganova functor $\operatorname{DS}_x$ for the queer Lie superalgebra $\mathfrak{q}_n$ and for all odd $x$ with $[x,x]$ semisimple. For the case when the rank of $x$ is $1$ we give a formula for multiplicities in terms of the arc diagram attached to $λ$. Further, we prove that $\operatorname{DS}_x(L)$ is semisimple if $L$ is a simple finite-dimensional module and $x$ is of rank $1$ satisfying $x^2=0$.
