Cyclotomic Carter-Payne homomorphisms
Representation Theory
2013-11-20 v2
Abstract
We construct a new family of homomorphisms between (graded) Specht modules of the quiver Hecke algebras of type A. These maps have many similarities with the homomorphisms constructed by Carter and Payne in the special case of the symmetric groups, although the maps that we obtain are both more and less general than these.
Keywords
Cite
@article{arxiv.1310.7474,
title = {Cyclotomic Carter-Payne homomorphisms},
author = {Sinead Lyle and Andrew Mathas},
journal= {arXiv preprint arXiv:1310.7474},
year = {2013}
}
Comments
This paper has been updated. The formula for the degree shift in Theorem 3.28 has been corrected and Examples 3.31 and 3.36 have been changed accordingly