Please use this identifier to cite or link to this item: https://doi.org/10.1007/s00013-011-0342-2
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dc.titleThe Schur functor on tensor powers
dc.contributor.authorLim, K.J.
dc.contributor.authorTan, K.M.
dc.date.accessioned2014-10-28T02:48:15Z
dc.date.available2014-10-28T02:48:15Z
dc.date.issued2012-02
dc.identifier.citationLim, K.J., Tan, K.M. (2012-02). The Schur functor on tensor powers. Archiv der Mathematik 98 (2) : 99-104. ScholarBank@NUS Repository. https://doi.org/10.1007/s00013-011-0342-2
dc.identifier.issn0003889X
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/104346
dc.description.abstractLet M be a left module for the Schur algebra S(n, r), and let s ε ℤ +. Then M ⊗s is a(S(n, rs), FS s)-bimodule, where the symmetric group S sson s letters acts on the right by place permutations. We show that the Schur functor f rs sends M ⊗s to the (FS rs, FS s)-bimodule FS rs⊗ F(SrSs). As a corollary, we obtain the image under the Schur functor of the Lie power L s(M), exterior power s(M)of M and symmetric power S s(M). © 2011 Springer Basel AG.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1007/s00013-011-0342-2
dc.sourceScopus
dc.subjectSchur algebras
dc.subjectSchur functor
dc.subjectSymmetric groups
dc.typeArticle
dc.contributor.departmentMATHEMATICS
dc.description.doi10.1007/s00013-011-0342-2
dc.description.sourcetitleArchiv der Mathematik
dc.description.volume98
dc.description.issue2
dc.description.page99-104
dc.identifier.isiut000300488000001
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