论文标题
整体舒尔 - 韦尔 - 塞尔格夫人二元性
The integral Schur-Weyl-Sergeev duality
论文作者
论文摘要
将量子Queer Schur Superalgebra $ {\ Mathcal {q} _q（n，r; r; r）} $转换为case $ q = 1 $，获得了Queer Schur Superalgebra $ {\ Mathcal {q}（q}（n，r）} $。在本文中，我们重建了Queer Lie superalgebra $ {\ Mathfrak {\ Mathfrak {Q} _n} $ a $ {\ Mathcal {Q}（q}（q}（q}（n，r）} $，以及SCAN的and and and and and and and and and and and and and的una，我们将重建通用包裹的代数$ {最后，我们描绘了$ \ mathbb {z} $上的schur-weyl-sergeev二元性。
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 $\mathbb{Z}$.
