Abstract
We prove that the KLR algebra associated with the cyclic quiver of length is a subquotient of the KLR algebra associated with the cyclic quiver of length . 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 contains a subcategory with an action of . We also give generalizations of these results to more general quivers and Lie types.
Citation
Ruslan Maksimau. "Categorical representations and KLR algebras." Algebra Number Theory 12 (8) 1887 - 1921, 2018. https://doi.org/10.2140/ant.2018.12.1887
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