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Categorical representations and KLR algebras. (arXiv:1901.11026v1 [math.RT])
来源于:arXiv
We prove that the KLR algebra associated with the cyclic quiver of length $e$
is a subquotient of the KLR algebra associated with the cyclic quiver of length
$e+1$. We also give a geometric interpretation of this fact. This result has an
important application in the theory of categorical representations. We prove
that a category with an action of $\widetilde{\mathfrak{sl}}_{e+1}$ contains a
subcategory with an action of $\widetilde{\mathfrak{sl}}_{e}$. We also give
generalizations of these results to more general quivers and Lie types. 查看全文>>