论文标题

广义量子确定环是最大订单

Generalised quantum determinantal rings are maximal orders

论文作者

Lenagan, T H, Rigal, L

论文摘要

广义量子确定环是舒伯特品种量子矩阵中的类似物。最大订单是整体封闭环的非共同版本。在本文中,我们表明广义量子确定环是最大阶。证明的基石是对偏斜多项式扩展的广义量子确定环的描述。

Generalised quantum determinantal rings are the analogue in quantum matrices of Schubert varieties. Maximal orders are the noncommutative version of integrally closed rings. In this paper, we show that generalised quantum determinantal rings are maximal orders. The cornerstone of the proof is a description of generalised quantum determinantal rings, up to a localisation, as skew polynomial extensions.

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