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${\boldsymbol~q}$-Schur superalgebras

${\boldsymbol~q}$-Schur superalgebras

This paper provides a survey on the latest developments of $q$-Schur superalgebras, quantum linear supergroups and their canonical bases and irreducible (polynomial) representations. We first introduce the definitions of $q$-Schur superalgebras in three different contexts and their associated bases,and describe the relationships between the three bases. We then move on …