On quasi-heredity and cell module homomorphisms in the symplectic blob algebra

2017/07/18 by Richard Green, Green, Richard, Paul Martin +3
Mathematics · #FOS: Mathematics #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.1707.06520

45 pages. arXiv admin note: text overlap with arXiv:0807.4101

arxiv created 2017/07/18 · arxiv updated 2017/07/21

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.

Citations

• On the non-generic representation theory of the symplectic blob algebra

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