The absolute order on the hyperoctahedral group
نویسندگان
چکیده
منابع مشابه
The absolute order on the hyperoctahedral group
The absolute order on the hyperoctahedral group Bn is investigated. Using a poset fiber theorem, it is proved that the order ideal of this poset generated by the Coxeter elements is homotopy Cohen–Macaulay. This method results in a new proof of Cohen–Macaulayness of the absolute order on the symmetric group. Moreover, it is shown that every closed interval in the absolute order on Bn is shellab...
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ژورنال
عنوان ژورنال: Journal of Algebraic Combinatorics
سال: 2010
ISSN: 0925-9899,1572-9192
DOI: 10.1007/s10801-010-0267-z