The integral Schur-Weyl-Sergeev duality

Abstract

Degenerating the quantum queer Schur superalgebra ${\mathcal{Q}}_q(n,r;R)$ to the case $q=1$, the queer Schur superalgebra $\mathcal{Q}(n,r)$ is obtained. In this article, we reconstruct the universal enveloping algebra $U({\mathfrak{q}}_n)$ of the queer Lie superalgebra ${\mathfrak{q}}_n$ via $\mathcal{Q}(n,r)$, and achieve another explanation of the Schur-Weyl-Sergeev duality. Finally, we depict the Schur-Weyl-Sergeev duality over $\mathbb{Z}$.

References in corpus (1)

• Quantum queer supergroups via v-differential operators