The cellular second fundamental theorem of invariant theory for classical groups

John Enyang, Frederick M. Goodman, Chris Bowman-Scargill

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)2626-2683
Number of pages58
JournalInternational Mathematics Research Notices
Issue number11
Early online date16 May 2018
Publication statusPublished - 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].

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