Zobrazeno 1 - 10
of 52
pro vyhledávání: '"Nicholas Proudfoot"'
Autor:
Nicholas Proudfoot, Takayuki Nojima
Publikováno v:
Nature Reviews Molecular Cell Biology. 23:389-406
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dfcf38dc3d2c7ed8aec1497b11bd3887
https://doi.org/10.1038/s41580-021-00447-6
https://doi.org/10.1038/s41580-021-00447-6
Autor:
Nicholas Proudfoot
Publikováno v:
Algebraic Combinatorics. 4:675-681
We establish a formalism for working with incidence algebras of posets with symmetries, and we develop equivariant Kazhdan-Lusztig-Stanley theory within this formalism. This gives a new way of thinking about the equivariant Kazhdan-Lusztig polynomial
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c3d532f72872eaf96eaefdca3b6631d0
https://doi.org/10.5802/alco.174
https://doi.org/10.5802/alco.174
Autor:
Nicholas Proudfoot, Eric Ramos
Publikováno v:
Proceedings of the American Mathematical Society, Series B. 8:219-223
We prove that the i th i^\text {th} graded pieces of the Orlik–Solomon algebras or Cordovil algebras of resonance arrangements form a finitely generated FS o p \operatorname {FS}^{\mathrm {op}} -module, thus obtaining information about the growth o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d33ea3f3f933d8a69f66af43cb3d49d4
https://doi.org/10.1090/bproc/71
https://doi.org/10.1090/bproc/71
Autor:
Nicholas Proudfoot, Takayuki Nojima
Publikováno v:
Nature Reviews Molecular Cell Biology. 23:853-853
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0aa983d122376d559af1441c05a13ba2
https://doi.org/10.1038/s41580-022-00551-1
https://doi.org/10.1038/s41580-022-00551-1
Autor:
Nicholas Proudfoot
Publikováno v:
Algebraic Combinatorics. 2:613-619
We introduce $q$-analogues of uniform matroids, which we call $q$-niform matroids. While uniform matroids admit actions of symmetric groups, $q$-niform matroids admit actions of finite general linear groups. We show that the equivariant Kazhdan-Luszt
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::47d740bc8baac5a18546f75c2a72609b
https://doi.org/10.5802/alco.59
https://doi.org/10.5802/alco.59
Autor:
Nicholas Proudfoot
We define a type B analogue of the category of finite sets with surjections, and we study the representation theory of this category. We show that the opposite category is quasi-Gröbner, which implies that submodules of finitely generated modules ar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::503524ab9ad7a6b9f072a98fbb63895f
http://arxiv.org/abs/2011.01313
http://arxiv.org/abs/2011.01313
Autor:
Nicholas Proudfoot
Publikováno v:
EMS Surveys in Mathematical Sciences. 5:99-127
Kazhdan-Lusztig-Stanley polynomials are a combinatorial generalization of Kazhdan-Lusztig polynomials of for Coxeter groups that include g-polynomials of polytopes and Kazhdan-Lusztig polynomials of matroids. In the cases of Weyl groups, rational pol
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6179ccb0bafdcb6f64786b29389a358a
https://doi.org/10.4171/emss/28
https://doi.org/10.4171/emss/28
Publikováno v:
Journal of Combinatorial Theory, Series A. 150:267-294
We define the equivariant Kazhdan–Lusztig polynomial of a matroid equipped with a group of symmetries, generalizing the nonequivariant case. We compute this invariant for arbitrary uniform matroids and for braid matroids of small rank.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::28e56ae752cf1e719c1e843d1cafba55
https://doi.org/10.1016/j.jcta.2017.03.007
https://doi.org/10.1016/j.jcta.2017.03.007
Publikováno v:
Trends in Genetics
The concept of early termination as an important means of transcriptional control has long been established. Even so, its role in metazoan gene expression is underappreciated. Recent technological advances provide novel insights into premature transc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b6f37416c78c7a3882a7409ab354db30
https://ora.ox.ac.uk/objects/uuid:af71271e-eb53-4fb8-aa66-a14c0d8d84a7
https://ora.ox.ac.uk/objects/uuid:af71271e-eb53-4fb8-aa66-a14c0d8d84a7
Publikováno v:
Advances in Mathematics. 299:36-70
We associate to every matroid M a polynomial with integer coefficients, which we call the Kazhdan–Lusztig polynomial of M, in analogy with Kazhdan–Lusztig polynomials in representation theory. We conjecture that the coefficients are always non-ne
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f9975f3ff0f3bd55bffaed674c4f2271
https://doi.org/10.1016/j.aim.2016.05.005
https://doi.org/10.1016/j.aim.2016.05.005