The cellular second fundamental theorem of invariant theory for classical groups

Bowman, Christopher, Enyang, John, Goodman, Frederick (2018) The cellular second fundamental theorem of invariant theory for classical groups. International Mathematics Research Notices, 2020 (9). pp. 2626-2683. ISSN 1073-7928. (doi:10.1093/imrn/rny079) (KAR id:66661)

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Official URL: https://doi.org/10.1093/imrn/rny079
Additional URLs: https://arxiv.org/abs/1610.09009

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.

Item Type:	Article
DOI/Identification number:	10.1093/imrn/rny079
Subjects:	Q Science Q Science > QA Mathematics (inc Computing science)
Institutional Unit:	Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences
Former Institutional Unit:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User:	Christopher Bowman
Date Deposited:	09 Apr 2018 09:13 UTC
Last Modified:	20 May 2025 11:38 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/66661 (The current URI for this page, for reference purposes)

University of Kent Author Information

Bowman, Christopher.

Creator's ORCID:	https://orcid.org/0000-0001-6046-8930
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