|
| | | | |
| | | |
| Stat |
Members: 3644
Articles: 2'497'992
Articles rated: 2609
16 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Decorated Dyck paths, the Delta conjecture, and a new q,t-square | | Michele D'Adderio
; Anna Vanden Wyngaerd
; | | Date: |
26 Sep 2017 | | Abstract: | We discuss the combinatorics of the decorated Dyck paths appearing in the
Delta conjecture framework of Haglund, Remmel and Wilson (2015) and Zabrocki
(2016), by introducing two new statistics, bounce and bounce’. We then provide
plethystic formulae for their q,t-enumerators, by proving in this way a
decorated version of Haglund’s q,t-Schroeder theorem, answering a question in
Haglund, Remmel and Wilson (2015). In particular we provide both an algebraic
and a combinatorial explanation of a symmetry conjectured in Haglund, Remmel
and Wilson (2015) and Zabrocki (2016). Finally, we show a link between these
results and the q,t-square theorem of Can and Loehr (2006) (conjectured by
Loehr and Warrington (2007)), getting a new q,t-square, whose specialization at
t=1/q is identical to the classical one, and hinting to a broader phenomenon of
this type. | | Source: | arXiv, 1709.8736 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser claudebot
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER