A generalized class of modified R-polynomials
نویسندگان
چکیده
In this paper we define a family of polynomials closely related to the modified R-polynomials of the symmetric group and begin work toward a classification of the polynomials by using a combinatorial interpretation involving subwords of the maximal element in the Bruhat order. The problem of determining the precise conditions which make one of these polynomials zero motivates our work. We state several properties of these polynomials and symmetries which they satisfy that were discovered while pursuing a resolution to this problem.
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عنوان ژورنال:
- Australasian J. Combinatorics
دوره 62 شماره
صفحات -
تاریخ انتشار 2015