关于Coxeter群中子字复形的一个注记
A note on the subword complexes in Coxeter groups
摘要：
本文证明了Coxeter群中子字复形的Alexander对偶的Stanley-Reisner理想关于极小单项式生成元的字典序具有线性关系。因此，我们得到了一个脱壳顺序的子字复杂的方面。我们涉及一些不变量的子词复合体或其对偶与不变量的字。对于一类特殊的子字复形，我们证明了Stanley-Reisner环是完全交环.
英文摘要：
We prove that the Stanley--Reisner ideal of the Alexander dual of the subword complexes in Coxeter groups has linear quotients with respect to the lexicographical order of the minimal monomial generators. As a consequence, we obtain a shelling order on the facets of the subword complex. We relate some invariants of the subword complexes or of their dual with invariants of the word. For a particular class of subword complexes, we prove that the Stanley--Reisner ring is a complete intersection ring.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
