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Ordered set partition statistics and the Delta Conjecture.
- Source :
-
Journal of Combinatorial Theory - Series A . Feb2018, Vol. 154, p172-217. 46p. - Publication Year :
- 2018
-
Abstract
- The Delta Conjecture of Haglund, Remmel, and Wilson is a recent generalization of the Shuffle Conjecture in the field of diagonal harmonics. In this paper we give evidence for the Delta Conjecture by proving a pair of conjectures of Wilson and Haglund–Remmel–Wilson which give equidistribution results for statistics related to inversion count and major index on objects related to ordered set partitions. Our results generalize the famous result of MacMahon that major index and inversion number share the same distribution on permutations. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00973165
- Volume :
- 154
- Database :
- Academic Search Index
- Journal :
- Journal of Combinatorial Theory - Series A
- Publication Type :
- Academic Journal
- Accession number :
- 125983048
- Full Text :
- https://doi.org/10.1016/j.jcta.2017.08.017