论文标题
张量产品分类，Verma模块和Blob 2类别
Tensor product categorifications, Verma modules and the blob 2-category
论文作者
论文摘要
我们构建了KLRW代数的DG增强，该代数分类了通用$ \ Mathfrak {SL} _2 $ VERMA模块和几个可集成的不可值模块的张量产品。当可集成的模块是二维的时，我们在这些DG-Elgebras的派生类别上构建了BLOB代数的分类动作，该类别交织了$ \ Mathfrak {sl} _2 $的分类动作。从上面，我们得出了BLOB代数的分类。
We construct a dg-enhancement of KLRW algebras that categorifies the tensor product of a universal $\mathfrak{sl}_2$ Verma module and several integrable irreducible modules. When the integrable modules are two-dimensional, we construct a categorical action of the blob algebra on derived categories of these dg-algebras which intertwines the categorical action of $\mathfrak{sl}_2$. From the above we derive a categorification of the blob algebra.
