论文标题
任意Coxeter组中的Bruhat间隔和抛物线盒
Bruhat intervals and parabolic cosets in arbitrary Coxeter groups
论文作者
论文摘要
在[纯和应用代数{224}（2020），第12、106449号]，V。Mazorchuk和R. Mr以上（在A. Hultman的帮助下）证明，鉴于Weyl群，伴侣间隔与寄生虫coset具有独特的Maximal元素和独特的最小元素。我们表明，在任意Coxeter组的情况下，此类相交实际上也是Bruhat的间隔。
In [Journal of Pure and Applied Algebra {224} (2020), no 12, 106449], V. Mazorchuk and R. Mrđen (with some help by A. Hultman) prove that, given a Weyl group, the intersection of a Bruhat interval with a parabolic coset has a unique maximal element and a unique minimal element. We show that such intersections are actually Bruhat intervals also in the case of an arbitrary Coxeter group.
