By the same authors

From the same journal

The cellular second fundamental theorem of invariant theory for classical groups

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Publication details

JournalInternational Mathematics Research Notices
DateAccepted/In press - 20 Mar 2018
DateE-pub ahead of print - 16 May 2018
DatePublished (current) - 1 May 2020
Issue number11
Number of pages58
Pages (from-to)2626-2683
Early online date16/05/18
Original languageEnglish


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.

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:

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