@article{53533,
author = {{Ernst, Alena and Schmidt, Kai-Uwe}},
issn = {{0305-0041}},
journal = {{Mathematical Proceedings of the Cambridge Philosophical Society}},
keywords = {{General Mathematics}},
number = {{1}},
pages = {{129--160}},
publisher = {{Cambridge University Press (CUP)}},
title = {{{Intersection theorems for finite general linear groups}}},
doi = {{10.1017/s0305004123000075}},
volume = {{175}},
year = {{2023}},
}
@article{66325,
abstract = {{AbstractLet$\mathfrak{A}$be a finite abelian group. In this paper, we classify harmonic$\mathfrak{A}$-covers of a tropical curve$\Gamma$(which allow dilation along edges and at vertices) in terms of the cohomology group of a suitably defined sheaf on$\Gamma$. We give a realisability criterion for harmonic$\mathfrak{A}$-covers by patching local monodromy data in an extended homology group on$\Gamma$. As an explicit example, we work out the case$\mathfrak{A}=\mathbb{Z}/p\mathbb{Z}$and explain how realisability for such covers is related to the nowhere-zero flow problem from graph theory.}},
author = {{Len, Yoav and Ulirsch, Martin and Zakharov, Dmitry}},
issn = {{0305-0041}},
journal = {{Mathematical Proceedings of the Cambridge Philosophical Society}},
number = {{2}},
pages = {{395--416}},
publisher = {{Cambridge University Press (CUP)}},
title = {{{Abelian tropical covers}}},
doi = {{10.1017/S0305004123000518}},
volume = {{176}},
year = {{2023}},
}
@article{16633,
abstract = {{AbstractWe obtain normal forms for infinitesimally symplectic matrices (or linear Hamiltonian vector fields) that commute with the symplectic action of a compact Lie group of symmetries. In doing so we extend Williamson's theorem on normal forms when there is no symmetry present.Using standard representation-theoretic results the symmetry can be factored out and we reduce to finding normal forms over a real division ring. There are three real division rings consisting of the real, complex and quaternionic numbers. Of these, only the real case is covered in Williamson's original work.}},
author = {{Melbourne, Ian and Dellnitz, Michael}},
issn = {{0305-0041}},
journal = {{Mathematical Proceedings of the Cambridge Philosophical Society}},
pages = {{235--268}},
title = {{{Normal forms for linear Hamiltonian vector fields commuting with the action of a compact Lie group}}},
doi = {{10.1017/s0305004100071577}},
year = {{1993}},
}