The cellular second fundamental theorem of invariant theory for classical groups

TY - JOUR

T1 - The cellular second fundamental theorem of invariant theory for classical groups

AU - Enyang, John

AU - Goodman, Frederick M.

AU - Bowman-Scargill, Chris

N1 - 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: journals.permission@oup.com.

PY - 2020/5/1

Y1 - 2020/5/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85100972761&partnerID=8YFLogxK

U2 - 10.1093/IMRN/RNY079

DO - 10.1093/IMRN/RNY079

M3 - Article

AN - SCOPUS:85100972761

SN - 1687-0247

VL - 2020

SP - 2626

EP - 2683

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 11

ER -