A filtration on the cohomology rings of regular nilpotent Hessenberg varieties
Sign Up to like & getrecommendations! Published in 2020 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-020-02646-x
Abstract: 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… read more here.
Keywords: regular nilpotent; nilpotent hessenberg; hessenberg varieties; cohomology rings ... See more keywords
On the similarity to nonnegative and Metzler Hessenberg forms
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DOI: 10.1515/spma-2020-0140
Abstract: Abstract We address the issue of establishing standard forms for nonnegative and Metzler matrices by considering their similarity to nonnegative and Metzler Hessenberg matrices. It is shown that for dimensions n 3, there always exists… read more here.
Keywords: similarity nonnegative; hessenberg; metzler hessenberg; nonnegative metzler ... See more keywords