Zobrazeno 1 - 10
of 61
pro vyhledávání: '"Michelle L. Wachs"'
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AS,..., Iss Proceedings (2013)
In this extended abstract we consider the poset of weighted partitions Π _n^w, introduced by Dotsenko and Khoroshkin in their study of a certain pair of dual operads. The maximal intervals of Π _n^w provide a generalization of the lattice Π _n of
Externí odkaz:
https://doaj.org/article/99293dc82be54d9fb6db4b8d170afb7e
Autor:
Alexander Lazar, Michelle L. Wachs
Publikováno v:
Combinatorial Theory. 2
We study the intersection lattice of a hyperplane arrangement recently introduced by Hetyei who showed that the number of regions of the arrangement is a median Genocchi number. Using a different method, we refine Hetyei's result by providing a combi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2761225f6231759a923a3dc59b5b65eb
https://doi.org/10.5070/c62156874
https://doi.org/10.5070/c62156874
Autor:
Michelle L. Wachs, Brittney Ellzey
Publikováno v:
Journal of Combinatorics. 11:413-456
A Smirnov word is a word over the positive integers in which adjacent letters must be different. A symmetric function enumerating these words by descent number arose in the work of Shareshian and the second named author on $q$-Eulerian polynomials, w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c8e4f843d0c2e8e21e0c26f2ce14e419
https://doi.org/10.4310/joc.2020.v11.n3.a1
https://doi.org/10.4310/joc.2020.v11.n3.a1
Publikováno v:
Advances in Mathematics. 380:107570
We initiate a study of the representation of the symmetric group on the multilinear component of an $n$-ary generalization of the free Lie algebra, which we call a free LAnKe. Our central result is that the representation of the symmetric group $S_{2
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8628c9013f3711b0166a728a7b8b4fe6
https://doi.org/10.1016/j.aim.2021.107570
https://doi.org/10.1016/j.aim.2021.107570
Autor:
John Shareshian, Michelle L. Wachs
Publikováno v:
Advances in Mathematics. 295:497-551
We introduce a quasisymmetric refinement of Stanley's chromatic symmetric function. We derive refinements of both Gasharov's Schur-basis expansion of the chromatic symmetric function and Chow's expansion in Gessel's basis of fundamental quasisymmetri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b7521b59895f1d40873e97301d2583a9
https://doi.org/10.1016/j.aim.2015.12.018
https://doi.org/10.1016/j.aim.2015.12.018
Publikováno v:
Transactions of the American Mathematical Society. 368:6779-6818
We consider the poset of weighted partitions $\Pi_n^w$, introduced by Dotsenko and Khoroshkin in their study of a certain pair of dual operads. The maximal intervals of $\Pi_n^w$ provide a generalization of the lattice $\Pi_n$ of partitions, which we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::80086bcca915a5fb26f221dd0d4af827
https://doi.org/10.1090/tran/6483
https://doi.org/10.1090/tran/6483
Autor:
Michelle L. Wachs, John Shareshian
An identity of Chung, Graham and Knuth involving binomial coefficients and Eulerian numbers motivates our study of a class of polynomials that we call binomial-Eulerian polynomials. These polynomials share several properties with the Eulerian polynom
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::74aad99d8fecace693a2c797d97c138d
Autor:
Michelle L. Wachs, Anthony Henderson
Publikováno v:
Journal of Combinatorial Theory, Series A. 119(1):135-145
We prove two conjectures of Shareshian and Wachs about Eulerian quasisymmetric functions and polynomials. The first states that the cycle type Eulerian quasisymmetric function $Q_{\lambda,j}$ is Schur-positive, and moreover that the sequence $Q_{\lam
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::64e68eac3f900badced95e036bfe39e0
Autor:
John Shareshian, Michelle L. Wachs
Publikováno v:
Journal of Algebra. 322(7):2253-2271
We investigate the representation of a symmetric group $S_n$ on the homology of its Quillen complex at a prime $p$. For homology groups in small codimension, we derive an explicit formula for this representation in terms of the representations of sym
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ed30c39ac45d39ccccb1f715c2d1932d