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arXiv · 1707.06520

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

Richard Green·Paul Martin·Alison Parker
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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.

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Richard Green, Paul Martin, Alison Parker. 2017-07-18. On quasi-heredity and cell module homomorphisms in the symplectic blob algebra. https://arxiv.org/abs/1707.06520

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