Zobrazeno 1 - 10
of 94
pro vyhledávání: '"Hessenberg variety"'
Autor:
Atar, Busra
A Hessenberg variety is a subvariety of the flag variety parametrized by two maps: a Hessenberg function on $[n]$ and a linear map on $\C^n$. We study regular nilpotent Hessenberg varieties in Lie type A by focusing on the Hessenberg function $h=(n-1
Externí odkaz:
http://hdl.handle.net/11375/28478
Publikováno v:
Sbornik: Mathematics. 212:1765-1784
In this paper we study effective actions of the compact torus on smooth compact manifolds of even dimension with isolated fixed points. It is proved that under certain conditions on the weight vectors of the tangent representation, the orbit space of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ee4ff7ba74b24042d3b634a734c043aa
https://doi.org/10.1070/sm9278
https://doi.org/10.1070/sm9278
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
Akademický článek
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Publikováno v:
International Mathematics Research Notices. 2021:16671-16692
We study the space $X_h$ of Hermitian matrices having staircase form and the given simple spectrum. There is a natural action of a compact torus on this space. Using generalized Toda flow, we show that $X_h$ is a smooth manifold and its smooth type i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e4a6f1cc9293d8e20d59aba31f8aa4cc
https://doi.org/10.1093/imrn/rnz388
https://doi.org/10.1093/imrn/rnz388
Publikováno v:
Proceedings of the Steklov Institute of Mathematics. 305:318-344
Regular semisimple Hessenberg varieties are subvarieties of the flag variety Flag(ℂn) arising naturally at the intersection of geometry, representation theory, and combinatorics. Recent results of Abe, Horiguchi, Masuda, Murai, and Sato as well as
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e68011317d15de511833a75d8d0ffac0
https://doi.org/10.1134/s0081543819030192
https://doi.org/10.1134/s0081543819030192
Publikováno v:
Journal of Combinatorics. 10:27-59
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::73fffab09cfcea0e8912dbf930d24936
https://doi.org/10.4310/joc.2019.v10.n1.a2
https://doi.org/10.4310/joc.2019.v10.n1.a2
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
Akademický článek
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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