Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Joel Brewster Lewis"'
Publikováno v:
Enumerative Combinatorics and Applications, Vol 2, Iss 3, p Article #S2R20 (2022)
Externí odkaz:
https://doaj.org/article/29f4f27a6b4c415788754a61fd01b9ed
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings, 28th... (2020)
We consider GLn (Fq)-analogues of certain factorization problems in the symmetric group Sn: ratherthan counting factorizations of the long cycle(1,2, . . . , n) given the number of cycles of each factor, we countfactorizations of a regular elliptic e
Externí odkaz:
https://doaj.org/article/57f563834e544bc2a979c0a0f359813d
Autor:
Joel Brewster Lewis, Alejandro Morales
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AT,..., Iss Proceedings (2014)
There are numerous combinatorial objects associated to a Grassmannian permutation $w_λ$ that index cells of the totally nonnegative Grassmannian. We study some of these objects (rook placements, acyclic orientations, various restricted fillings) and
Externí odkaz:
https://doaj.org/article/9383776dd0094ae6ba7cb34ac7aa17cf
Autor:
Joel Brewster Lewis, Ricky Ini Liu, Alejandro H. Morales, Greta Panova, Steven V Sam, Yan Zhang
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AO,..., Iss Proceedings (2011)
We study the functions that count matrices of given rank over a finite field with specified positions equal to zero. We show that these matrices are $q$-analogues of permutations with certain restricted values. We obtain a simple closed formula for t
Externí odkaz:
https://doaj.org/article/9df26cfd3f14462182ae62cf58a62cb8
Autor:
Joel Brewster Lewis
We show that the Hurwitz action is "as transitive as possible" on reflection factorizations of Coxeter elements in the well-generated complex reflection groups $G(d, 1, n)$ (the group of $d$-colored permutations) and $G(d, d, n)$.
Comment: 11 pa
Comment: 11 pa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::20b6949c7b70213469716be631342f0d
Publikováno v:
Experimental Mathematics. 29:328-346
Matrices over a finite field having fixed rank and restricted support are a natural $q$-analogue of rook placements on a board. We develop this $q$-rook theory by defining a corresponding analogue of the hit numbers. Using tools from coding theory, w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bdd6f9b05e13301407a21e1dc6dff143
https://doi.org/10.1080/10586458.2018.1470045
https://doi.org/10.1080/10586458.2018.1470045
Publikováno v:
Journal of the London Mathematical Society. 95:223-247
This paper studies a partial order on the general linear group GL(V) called the absolute order, derived from viewing GL(V) as a group generated by reflections, that is, elements whose fixed space has codimension one. The absolute order on GL(V) is sh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4be7d0644daae63b205832854f250447
https://doi.org/10.1112/jlms.12013
https://doi.org/10.1112/jlms.12013
Autor:
Joel Brewster Lewis, Eric Marberg
We introduce an enriched analogue of Lam and Pylyavskyy's theory of set-valued $P$-partitions. An an application, we construct a $K$-theoretic version of Stembridge's Hopf algebra of peak quasisymmetric functions. We show that the symmetric part of t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1151e360dab7ef6763a6356fe78db729
http://arxiv.org/abs/1907.10691
http://arxiv.org/abs/1907.10691
We enumerate factorizations of a Coxeter element in a well generated complex reflection group into arbitrary factors, keeping track of the fixed space dimension of each factor. In the infinite families of generalized permutations, our approach is ful
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fa15ac916635b8d9128fc2cdf6d7c476
Autor:
Joel Brewster Lewis
Publikováno v:
WikiJournal of Science. 4:3
The affine symmetric group is a mathematical structure that describes the symmetries of the number line and the regular triangular tesselation of the plane, as well as related higher dimensional objects. It is an infinite extension of the symmetric g
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7e3304ff492d2e6abcf9906b3084eef9
https://doi.org/10.15347/wjs/2021.003
https://doi.org/10.15347/wjs/2021.003