Major indices, Mahonian identities and ordered generating systems (extended abstract)

نتاج البحث: نتاج بحثي من مؤتمرمحاضرةمراجعة النظراء

1 اقتباس (Scopus)

ملخص

A classical result of MacMahon shows that the length function and the major index are equidistributed over the symmetric group. A long standing open problem is to extend the notion of major index and MacMahon identity to other groups. A partial solution was given in [3] and [5], where this result was extended to classical Weyl groups. In this paper, it is proved that various permutation groups may be decomposed into a set-wise direct product of cyclic subgroups. This property is then used to extend the notion of major index and MacMahon identity to these groups.

اللغة الأصليةالإنجليزيّة
حالة النشرنُشِر - 2007
منشور خارجيًانعم
الحدث19th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'07 - Tianjin, الصين
المدة: ٢ يوليو ٢٠٠٧٦ يوليو ٢٠٠٧

!!Conference

!!Conference19th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'07
الدولة/الإقليمالصين
المدينةTianjin
المدة٢/٠٧/٠٧٦/٠٧/٠٧

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