Corpus ID: 119152342

A categorification of a cyclotomic Hecke algebra

@article{Oblomkov2018ACO,
  title={A categorification of a cyclotomic Hecke algebra},
  author={Alexei Oblomkov and Lev Rozansky},
  journal={arXiv: Representation Theory},
  year={2018}
}
We propose a categorification of the cyclotomic Hecke algebra in terms of the equivariant K-theory of the framed matrix factorizations. The construction generalizes the earlier construction of the authors for a categorification of the finite Hecke algebra of type A. We also explain why our construction provides a faithful realization of the Hecke algebras and discuss a geometric realization of the Jucys-Murphy subalgebra. 
4 Citations
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