The integral Schur-Weyl-Sergeev duality
نویسندگان
چکیده
Degenerating the quantum queer Schur superalgebra ${\mathcal{Q}_q(n,r; R)}$ to case $q=1$, ${\mathcal{Q}(n,r)}$ is obtained. In this article, we reconstruct universal enveloping algebra ${U({\mathfrak{q}_n})}$ of Lie ${\mathfrak{q}_n}$ via ${\mathcal{Q}(n,r)}$, and achieve another explanation Schur-Weyl-Sergeev duality. Finally, depict duality over $\mathbb{Z}$.
منابع مشابه
Schur-weyl Duality
Introduction 1 1. Representation Theory of Finite Groups 2 1.1. Preliminaries 2 1.2. Group Algebra 4 1.3. Character Theory 5 2. Irreducible Representations of the Symmetric Group 8 2.1. Specht Modules 8 2.2. Dimension Formulas 11 2.3. The RSK-Correspondence 12 3. Schur-Weyl Duality 13 3.1. Representations of Lie Groups and Lie Algebras 13 3.2. Schur-Weyl Duality for GL(V ) 15 3.3. Schur Functor...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2022
ISSN: ['1873-1376', '0022-4049']
DOI: https://doi.org/10.1016/j.jpaa.2022.107044