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 الأصلية | الإنجليزيّة |
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حالة النشر | نُشِر - 2007 |
منشور خارجيًا | نعم |
الحدث | 19th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'07 - Tianjin, الصين المدة: ٢ يوليو ٢٠٠٧ → ٦ يوليو ٢٠٠٧ |
!!Conference
!!Conference | 19th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'07 |
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الدولة/الإقليم | الصين |
المدينة | Tianjin |
المدة | ٢/٠٧/٠٧ → ٦/٠٧/٠٧ |