论文标题
$ \ mathfrak {gl} _n $ -foams的对称性
Symmetries of $\mathfrak{gl}_N$-foams
论文作者
论文摘要
我们在泡沫上进行了维特代数的谎言子代数的动作。此操作与$ \ mathfrak {gl} _n $ -FOAM评估公式兼容。特别是,这赋予了与$ \ mathfrak {gl} _n $ -webs与$ \ mathfrak {sl} _2 $ -Action相关的状态空间。在积极特征上工作时,可以用来在这些状态空间上定义$ p $ -DG结构。
We give an action of a Lie subalgebra of the Witt algebra on foams. This action is compatible with the $\mathfrak{gl}_N$-foam evaluation formula. In particular, this endows states spaces associated with $\mathfrak{gl}_N$-webs with an $\mathfrak{sl}_2$-action. When working in positive characteristic, this can be used to define a $p$-DG structure on these state spaces.