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pro vyhledávání: '"Haglund, Jim"'
In this paper, we introduce the \emph{$\alpha$-chromatic symmetric functions} $\chi^{(\alpha)}_\pi[X;q]$, extending Shareshian and Wachs' chromatic symmetric functions with an additional real parameter $\alpha$. We present positive combinatorial form
Externí odkaz:
http://arxiv.org/abs/2407.06965
We consider here a new operator, called ``super nabla'', which is shown to be generic among operators for which the modified Macdonald polynomials are joint eigenfunctions. All previously known Macdonald eigenoperators can readily be obtained from su
Externí odkaz:
http://arxiv.org/abs/2303.00560
We present several new and compact formulas for the modified and integral form of the Macdonald polynomials, building on the compact "multiline queue" formula for Macdonald polynomials due to Corteel, Mandelshtam, and Williams. We also introduce a ne
Externí odkaz:
http://arxiv.org/abs/2004.11907
We present several new and compact formulas for the modified and integral form of the Macdonald polynomials, building on the compact "multiline queue" formula for Macdonald polynomials due to Corteel, Mandelshtam and Williams. We also introduce a new
Externí odkaz:
http://arxiv.org/abs/1912.03390
In [The Delta Conjecture, Trans. Amer. Math. Soc., to appear] Haglund, Remmel, Wilson introduce a conjecture which gives a combinatorial prediction for the result of applying a certain operator to an elementary symmetric function. This operator, defi
Externí odkaz:
http://arxiv.org/abs/1710.07078
Autor:
Haglund, Jim, Stevens, Laura
Publikováno v:
Sem. Loth. Comb. 56 (2006), Article B56C
We define an inversion statistic on standard Young tableaux. We prove that this statistic has the same distribution over SYT(\lambda) as the major index statistic by exhibiting a bijection on SYT(\lambda) in the spirit of the Foata map on permutation
Externí odkaz:
http://arxiv.org/abs/math/0611822
Akademický článek
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Autor:
Garsia, Adriano1 (AUTHOR) garsia@math.ucsd.edu, Haglund, Jim2 (AUTHOR) jhaglund@math.upenn.edu, Remmel, Jeffrey B.1 (AUTHOR) jremmel@ucsd.edu, Yoo, Meesue3 (AUTHOR) meesue.yoo@dankook.ac.kr
Publikováno v:
Annals of Combinatorics. Jun2019, Vol. 23 Issue 2, p317-333. 17p.
Publikováno v:
Proceedings of the American Mathematical Society; Aug2012, Vol. 140 Issue 8, p2671-2686, 16p
Publikováno v:
Journal of Combinatorial Theory - Series A; October 1998, Vol. 84 Issue: 1 p9-37, 29p