Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Alexander Garver"'
Autor:
Alexander Garver, Thomas McConville
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings, 28th... (2020)
Given a tree embedded in a disk, we define two lattices - the oriented flip graph of noncrossing arcs and the lattice of noncrossing tree partitions. When the interior vertices of the tree have degree 3, the oriented flip graph is equivalent to the o
Externí odkaz:
https://doaj.org/article/f93ee0da02d040d687e1501a98dc98cd
Autor:
Alexander Garver, Jacob P. Matherne
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings, 27th..., Iss Proceedings (2015)
Exceptional sequences are certain ordered sequences of quiver representations. We use noncrossing edge-labeled trees in a disk with boundary vertices (expanding on T. Araya’s work) to classify exceptional sequences of representations of $Q$, the li
Externí odkaz:
https://doaj.org/article/279248faf9704e94b7d0540730e2b6b5
Autor:
Emily Carrick, Alexander Garver
Publikováno v:
Algebras and Representation Theory. 26:181-206
Exceptional sequences are important sequences of quiver representations in the study of representation theory of algebras. They are also closely related to the theory of cluster algebras and the combinatorics of Coxeter groups. We combinatorially cla
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5065e3eab1dc4a3ffc14284492c09f69
https://doi.org/10.1007/s10468-021-10091-5
https://doi.org/10.1007/s10468-021-10091-5
Publikováno v:
SIAM Journal on Discrete Mathematics
We introduce a class of posets, which includes both ribbon posets (skew shapes) and $d$-complete posets, such that their number of linear extensions is given by a determinant of a matrix whose entries are products of hook lengths. We also give $q$-an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fa2ef2cd56377569f96ebc34d36dd41f
https://doi.org/10.1137/20m1320730
https://doi.org/10.1137/20m1320730
Autor:
Véronique Bazier-Matte, Alexander Garver, Guillaume Douville, Rebecca Patrias, Emine Yıldırım, Hugh Thomas
Publikováno v:
International Mathematics Research Notices. 2022:1714-1733
We use Khovanov and Kuperberg’s web growth rules to identify the leading term in the invariant associated to an $\textrm{SL}_3$ web diagram, with respect to a particular term order.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9e3985143c36ec1e7a21a31175e6d5bb
https://doi.org/10.1093/imrn/rnaa110
https://doi.org/10.1093/imrn/rnaa110
Publikováno v:
Journal of Algebra. 546:390-431
We consider the closure space on the set of strings of a gentle algebra of finite representation type. Palu, Pilaud, and Plamondon proved that the collection of all biclosed sets of strings forms a lattice, and moreover, that this lattice is congruen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0c3147dd7a6921cd4570b7392d7c3d82
https://doi.org/10.1016/j.jalgebra.2019.10.041
https://doi.org/10.1016/j.jalgebra.2019.10.041
Autor:
Thomas McConville, Alexander Garver
Publikováno v:
Glasgow Mathematical Journal. 62:147-182
The purpose of this paper is to understand lattices of certain subcategories in module categories of representation-finite gentle algebras called tiling algebras, as introduced by Coelho Simões and Parsons. We present combinatorial models for torsio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6f4e64d9f44d9c9c00ece0043536efee
https://doi.org/10.1017/s0017089519000028
https://doi.org/10.1017/s0017089519000028
Autor:
Thomas McConville, Alexander Garver
Publikováno v:
Discrete Mathematics and Theoretical Computer Science
28-th International Conference on Formal Power Series and Algebraic Combinatorics
28-th International Conference on Formal Power Series and Algebraic Combinatorics, Simon Fraser University, Jul 2016, Vancouver, Canada
28-th International Conference on Formal Power Series and Algebraic Combinatorics
28-th International Conference on Formal Power Series and Algebraic Combinatorics, Simon Fraser University, Jul 2016, Vancouver, Canada
In this paper, we study the lattice properties of posets of torsion pairs in the module category of a family of representation-finite gentle algebras called tiling algebras, introduced by Coelho Simoes and Parsons. We present a combinatorial model fo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::466eca77418b6cb2ffb54cdb3fa98957
https://doi.org/10.46298/dmtcs.6379
https://doi.org/10.46298/dmtcs.6379
Autor:
Alexander Garver, Thomas McConville
Publikováno v:
Journal of Combinatorial Theory, Series A. 158:126-175
Given a tree embedded in a disk, we introduce a simplicial complex of noncrossing geodesics supported by the tree, which we call the noncrossing complex. The facets of the noncrossing complex have the structure of an oriented flip graph. Special case
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::19694d2ab577c0536bf6db2c7387f610
https://doi.org/10.1016/j.jcta.2018.03.014
https://doi.org/10.1016/j.jcta.2018.03.014
Autor:
Rebecca Patrias, Alexander Garver
Publikováno v:
The Electronic Journal of Combinatorics. 26
R. Sulzgruber's rim hook insertion and the Hillman–Grassl correspondence are two distinct bijections between the reverse plane partitions of a fixed partition shape and multisets of rim-hooks of the same partition shape. It is known that Hillman–
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6020f2f4d6007b8ba0e0c665a0f658da
https://doi.org/10.37236/7992
https://doi.org/10.37236/7992