论文标题
无WIST的Gaiotto等效性
Untwisted Gaiotto equivalence
论文作者
论文摘要
这是Arxiv的连续论文：1909.11492。我们证明，退化超级组$ \ upessine {gl}（m | n）$的有限维表示类别与$（gl_m（o）\ ltimes u_ {m，n}（m，n}（f），χ_{m，n}）$ - epodivariant d-modiant n $ gr g gr的$ gr} $ gr的$（gl}（m | n）$。我们还证明，我们可以将退化超级组$ \ upessline {gl}（m | n）$的有限维表示类别视为Mirabolic子组$ mir_l（f）$的D-MODULES类别，其中任何$ l $ l $ by $ n $和$ m $都具有某些等价条件。
This is a successive paper of arXiv:1909.11492. We prove an equivalence between the category of finite-dimensional representations of degenerate supergroup $\underline{GL}(M|N)$ and the category of $(GL_M(O) \ltimes U_{M, N}(F), χ_{M, N})$-equivariant D-modules on $Gr_{N}$. We also prove that we can realize the category of finite-dimensional representations of degenerate supergroup $\underline{GL}(M|N)$ as a category of D-modules on the mirabolic subgroup $Mir_L(F)$ with certain equivariant conditions for any $L$ bigger than $N$ and $M$.
