A categorification of a cyclotomic Hecke algebra
Representation Theory
2018-01-22 v1
Abstract
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.
Cite
@article{arxiv.1801.06201,
title = {A categorification of a cyclotomic Hecke algebra},
author = {Alexei Oblomkov and Lev Rozansky},
journal= {arXiv preprint arXiv:1801.06201},
year = {2018}
}
Comments
18 pages, comments are welcome