This is a preprint and may not have undergone formal peer review
Green, R, Martin, P and Parker, A orcid.org/0000-0001-7014-6150 (2017) On quasi-heredity and cell module homomorphisms in the symplectic blob algebra. [Preprint - arXiv]
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.
Metadata
Item Type: | Preprint |
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Authors/Creators: |
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Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 30 Oct 2024 15:25 |
Last Modified: | 30 Oct 2024 15:25 |
Identification Number: | 10.48550/arXiv.1707.06520 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:150299 |