Abstract
We construct explicit integral bases for the kernels and the images of diagram algebras (including the symmetric groups, orthogonal and symplectic Brauer algebras) acting on tensor space. We do this by providing an axiomatic framework for studying quotients of diagram algebras.
Original language | English |
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Pages (from-to) | 2626-2683 |
Number of pages | 58 |
Journal | International Mathematics Research Notices |
Volume | 2020 |
Issue number | 11 |
Early online date | 16 May 2018 |
DOIs | |
Publication status | Published - 1 May 2020 |
Bibliographical note
Funding Information:This work was supported by Engineering and Physical Sciences Research Council [EP/L01078X/1].
Publisher Copyright:
© The Author(s) 2018. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: [email protected].