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}
}
• Published 18 January 2018
• Mathematics
• arXiv: Representation Theory
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.
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