• Corpus ID: 222133854

KLR and Schur algebras for curves and semi-cuspidal representations.

@article{Maksimau2020KLRAS,
  title={KLR and Schur algebras for curves and semi-cuspidal representations.},
  author={Ruslan Maksimau and Alexandre Minets},
  journal={arXiv: Representation Theory},
  year={2020}
}
Given a smooth curve $C$, we define and study analogues of KLR algebras and quiver Schur algebras, where quiver representations are replaced by torsion sheaves on $C$. In particular, they provide a geometric realization for certain affinized symmetric algebras. When $C=\mathbb P^1$, a version of curve Schur algebra turns out to be Morita equivalent to the imaginary semi-cuspidal category of the Kronecker quiver in any characteristic. As a consequence, we argue that one should not expect to have… 

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