论文标题
量子Euclidean的Azumaya基因座$ 2N $ -SPACE
Azumaya Loci Of The Quantum Euclidean $2n$-Space
论文作者
论文摘要
本文深入研究了质量欧几里得2N空间的Azumaya基因座，提供了全面的探索。我们引入了与该代数相关的一类重要的最大维度简单模块。此外，我们建立了一个证明，认为最大维的简单模块正是我们已经构建的模块。代数中心的计算，再加上最大维简单模块的必要条件，使我们能够确定代数的Azumaya基因座。
This article delves into the Azumaya loci of quantum euclidean 2n-space, providing a comprehensive exploration. We introduce a significant class of maximal-dimensional simple modules associated with this algebra. Moreover, we establish a proof asserting that the maximal-dimensional simple modules are exactly the ones we have constructed. The computation of the algebra's center, coupled with the necessary and sufficient conditions derived for maximal-dimensional simple modules, enables us to determine the Azumaya locus of the algebra.
