Presenting Schur superalgebras

2012/09/27 by Turkey, Houssein El, Kujawa, Jonathan R.
#16S99 #20G05 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1209.6327

Abstract

We provide a presentation of the Schur superalgebra and its quantum analogue which generalizes the work of Doty and Giaquinto for Schur algebras. Our results include a basis for these algebras and a presentation using weight idempotents in the spirit of Lusztig's modified quantum groups.

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