Affinizations and R-matrices for quiver Hecke algebras
Representation Theory
2018-03-19 v2 Quantum Algebra
Abstract
We introduce the notion of affinizations and R-matrices for arbitrary quiver Hekcke algebras. We show that they enjoy similar properties to those for symmetric quiver Hecke algebras. We next define the notion of a duality datum and construct a tensor functor between graded module categories of two quiver Hecke algebras. We give several examples of such functors .
Keywords
Cite
@article{arxiv.1505.03241,
title = {Affinizations and R-matrices for quiver Hecke algebras},
author = {Masaki Kashiwara and Euiyong Park},
journal= {arXiv preprint arXiv:1505.03241},
year = {2018}
}
Comments
37 pages; minor typos corrected; to appear in Journal of the European Mathematical Society