The Bruhat Order on the Involutions of the Symmetric Group
نویسندگان
چکیده
منابع مشابه
The Bruhat Order on the Involutions of the Symmetric Group
In this paper we study the partially ordered set of the involutions of the symmetric group Sn with the order induced by the Bruhat order of Sn . We prove that this is a graded poset, with rank function given by the average of the number of inversions and the number of excedances, and that it is lexicographically shellable, hence Cohen-Macaulay, and Eulerian.
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ژورنال
عنوان ژورنال: Journal of Algebraic Combinatorics
سال: 2004
ISSN: 0925-9899
DOI: 10.1023/b:jaco.0000048514.62391.f4