A realisation of the quantum linear superalgebra

Abstract

We reconstruct the quantum enveloping superalgebra $\mathbf{U}({\mathfrak{gl}}_{m|n})$ over $\mathbb{Q}(v)$ via (finite dimensional) quantum Schur superalgebras. In particular, we obtain a new basis containing the standard generators of $\mathbf{U}({\mathfrak{gl}}_{m|n})$ and explicit multiplication formulas between the generators and an arbitrary basis element.

43 pages

References in corpus (1)

• Irreducible representations of q-Schur superalgebras at a root of unity

Cited by in corpus (1)

• Presenting queer Schur superalgebras