On quasi-heredity and cell module homomorphisms in the symplectic blob algebra
Representation Theory
2017-07-21 v1
Abstract
This paper reports key advances in the study of the representation theory of the symplectic blob algebra. For suitable specialisations of the parameters we construct four large families of homomorphisms between cell modules. We hence find a large family of non-semisimple specialisations. We find a minimal poset (i.e. least number of relations) for the symplectic blob as a quasi-hereditary algebra.
Keywords
Cite
@article{arxiv.1707.06520,
title = {On quasi-heredity and cell module homomorphisms in the symplectic blob algebra},
author = {Richard Green and Paul Martin and Alison Parker},
journal= {arXiv preprint arXiv:1707.06520},
year = {2017}
}
Comments
45 pages. arXiv admin note: text overlap with arXiv:0807.4101