论文标题
$ Q $ -Kreweras的数字，用于限制符号的巧合Coxeter组
$q$-Kreweras numbers for coincidental Coxeter groups attached to limit symbols
论文作者
论文摘要
对于一个偶然的Coxeter组，即$ a_ {n-1}，bc_n，h_3，$或$ i_2（m）$，我们定义了附加的$ q $ -kreweras编号，以限制Shoji的限制符号。这些数字的构造类似于赖纳和索默斯的论点，这两个具有相似的属性，但是我们的版本与与其更简单的版本略有不同。我们还研究了$ Q $ -Kreweras数字的组合特性，即积极性，与$ Q $ -Narayana数字的关系以及环状筛分现象。
For a coincidental Coxeter group, i.e. of type $A_{n-1}, BC_n, H_3,$ or $I_2(m)$, we define the corresponding $q$-Kreweras numbers attached to limit symbols in the sense of Shoji. The construction of these numbers resembles the argument of Reiner and Sommers and these two share similar properties, but our version is slightly different from and combinatorially simpler than theirs. We also study the combinatorial properties of our $q$-Kreweras numbers, i.e. positivity, relation with $q$-Narayana numbers, and cyclic sieving phenomenon.
