经典外尔群的奇偶较多指标和一维特征标
Odd and even major indices and one-dimensional characters for classical Weyl groups
摘要：
定义并研究了经典外尔群的主指数统计量的奇偶模拟。更确切地说，我们表明，这些统计的生成函数，扭曲的一维字符的相应群体，总是在一个明确的方式因子。特别是，我们得到奇，甚至类似物的Carlitz的身份，Gessel-Simion定理，和抛物线的扩展，和细化，结果的瓦克斯。
英文摘要：
We define and study odd and even analogues of the major index statistics for the classical Weyl groups. More precisely, we show that the generating functions of these statistics, twisted by the one-dimensional characters of the corresponding groups, always factor in an explicit way. In particular, we obtain odd and even analogues of Carlitz's identity, of the Gessel-Simion Theorem, and a parabolic extension, and refinement, of a result of Wachs.
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