Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Martha Precup"'
Autor:
Martha Precup, Caleb Ji
Publikováno v:
Communications in Algebra. 50:1728-1749
We consider Hessenberg varieties in the flag variety of $GL_n(\mathbb{C})$ with the property that the corresponding Hessenberg function defines an ad-nilpotent ideal. Each such Hessenberg variety is contained in a Springer fiber. We extend a theorem
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7b39fae946a0e4c24b55d5d7245817c6
https://doi.org/10.1080/00927872.2021.1988629
https://doi.org/10.1080/00927872.2021.1988629
Autor:
Megumi Harada, Martha Precup
Publikováno v:
The Electronic Journal of Combinatorics. 29
In 2015, Brosnan and Chow, and independently Guay-Paquet, proved the Shareshian-Wachs conjecture, which links the Stanley-Stembridge conjecture in combinatorics to the geometry of Hessenberg varieties through Tymoczko's permutation group action on th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::19e37b1a19c48cf1cc25a6a978828cbc
https://doi.org/10.37236/10489
https://doi.org/10.37236/10489
Autor:
Megumi Harada, Martha Precup
Publikováno v:
Algebraic Combinatorics. 2:1059-1108
We define a subclass of Hessenberg varieties called abelian Hessenberg varieties, inspired by the theory of abelian ideals in a Lie algebra developed by Kostant and Peterson. We give an inductive formula for the $S_n$-representation on the cohomology
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8f4850a24f2e267a6024f8b0524b83b5
https://doi.org/10.5802/alco.76
https://doi.org/10.5802/alco.76
Recent work of Shareshian and Wachs, Brosnan and Chow, and Guay-Paquet connects the well-known Stanley-Stembridge conjecture in combinatorics to the dot action of the symmetric group $S_n$ on the cohomology rings $H^*(Hess(S,h))$ of regular semisimpl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::94e5cebfee06a98acc5230952b2851ec
Publikováno v:
Mathematische Zeitschrift.
Let $n$ be a positive integer. The main result of this manuscript is a construction of a filtration on the cohomology ring of a regular nilpotent Hessenberg variety in $GL(n,{\mathbb{C}})/B$ such that its associated graded ring has graded pieces (i.e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::af10a63e2e970d47f078509c2c36b874
https://doi.org/10.1007/s00209-020-02646-x
https://doi.org/10.1007/s00209-020-02646-x
Autor:
Martha Precup
Publikováno v:
Transformation Groups. 23:491-499
Recently Brosnan and Chow have proven a conjecture of Shareshian and Wachs describing a representation of the symmetric group on the cohomology of regular semisimple Hessenberg varieties for GL n (ℂ). A key component of their argument is that the B
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dd98a04af7b479b451d0de8af8bffde6
https://doi.org/10.1007/s00031-017-9442-9
https://doi.org/10.1007/s00031-017-9442-9
Autor:
Martha Precup, Edward Richmond
Springer fibers are subvarieties of the flag variety that play an important role in combinatorics and geometric representation theory. In this paper, we analyze the equivariant cohomology of Springer fibers for $GL_n(\mathbb{C})$ using results of Kum
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::30989d69c97b210b6aa77253edff4475
http://arxiv.org/abs/1912.08892
http://arxiv.org/abs/1912.08892
Autor:
Erik Insko, Martha Precup
Although regular semisimple Hessenberg varieties are smooth and irreducible, semisimple Hessenberg varieties are not necessarily smooth in general. In this paper we determine the irreducible components of semisimple Hessenberg varieties corresponding
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::912689f13c0e4f2e3807c12d30df435c
http://arxiv.org/abs/1709.05423
http://arxiv.org/abs/1709.05423
Autor:
Julianna Tymoczko, Martha Precup
This paper studies the geometry and combinatorics of three interrelated varieties: Springer fibers, Steinberg varieties, and parabolic Hessenberg varieties. We prove that each parabolic Hessenberg variety is the pullback of a Steinberg variety under
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e84db2ed2d3f9d89d3b75f3988708d27
Autor:
Martha Precup, Julianna Tymoczko
Springer fibers are subvarieties of the flag variety parametrized by partitions; they are central objects of study in geometric representation theory. Schubert varieties are subvarieties of the flag variety that induce a well-known basis for the coho
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::da4e187dc227c9e24beda9721a4c1c7e