This is a preprint and may not have undergone formal peer review
King, OH, Parker, AE orcid.org/0000-0001-7014-6150 and Martin, PP (2016) Decomposition matrices and blocks for the symplectic blob algebra over the complex field. [Preprint - arXiv]
Abstract
We find the blocks for the symplectic blob algebra for all specialisations of the parameters over the complex numbers. We determine Gram determinants for the cell modules. We also show that the algebra is semisimple over the complex numbers unless at least one of the quantisation parameters, or the sum or difference of two of the parameters is integral or q is a root of unity. We also find decomposition numbers in many of the q generic cases.
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 15:22 |
Last Modified: | 30 Oct 2024 15:22 |
Identification Number: | 10.48550/arXiv.1611.06968 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:150298 |