Corpus ID: 118431758

Weighted Khovanov-Lauda-Rouquier algebras

  title={Weighted Khovanov-Lauda-Rouquier algebras},
  author={Ben Webster},
  • Ben Webster
  • Published 2012
  • Mathematics
  • In this paper, we define a generalization of Khovanov-Lauda-Rouquier algebras which we call weighted Khovanov-Lauda-Rouquier algebras. We show that these algebras carry many of the same structures as the original Khovanov-Lauda-Rouquier algebras, including induction and restriction functors which induce a twisted biaglebra structure on their Grothendieck groups. We also define natural quotients of these algebras, which in an important special case carry a categorical action of an associated… CONTINUE READING

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