Presenting Schur superalgebras
Houssein El Turkey, Jonathan R. Kujawa

TL;DR
This paper introduces a presentation and basis for Schur superalgebras and their quantum analogues, extending previous work on Schur algebras and utilizing weight idempotents similar to Lusztig's quantum groups.
Contribution
It provides a new presentation and basis for Schur superalgebras and their quantum versions, generalizing earlier results and incorporating Lusztig's approach.
Findings
Established a basis for Schur superalgebras and their quantum analogues.
Presented a new presentation using weight idempotents.
Extended the work of Doty and Giaquinto to superalgebras.
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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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Combinatorial Mathematics
