Results 11 to 20 of about 26,897 (288)
k-Parabolic Subspace Arrangements [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 In this paper, we study k-parabolic arrangements, a generalization of the k-equal arrangement for any finite real reflection group. When k=2, these arrangements correspond to the well-studied Coxeter arrangements.
Christopher Severs, Jacob White
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Reflection groups, reflection arrangements, and invariant real varieties [PDF]
Proceedings of the American Mathematical Society, 2017 Let X X be a nonempty real variety that is invariant under the action of a reflection group
Friedl, Tobias +3 more
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Combinatorial properties of hyperplane arrangements and reflection arrangements [PDF]
, 2019 Ein Arrangement bezüglich eines endlich-dimensionalen Vektorraums ist eine endliche Menge von Hyperebenen dieses Raumes. Hierbei ist eine Hyperebene ein Unterraum von Kodimension eins. Arrangements lassen sich in natürlicher Weise auf Schnitte von Hyperbenen einschränken.
Möller, Tilman Hendrik (Dr. rer. nat.)
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On the $K(π, 1)$-problem for restrictions of complex reflection arrangements [PDF]
, 2017 20 pages; v2: small changes and further references added, in particular [AMR18], where examples of K(pi,1) arrangements are exhibited which admit restrictions that are not K(pi,1); v3 author added, completely revised, alternate geometric proof of main theorem, 11 pages; v4 minor changes, final version to appear in Compositio ...
Amend, Nils +2 more
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ON THE MILNOR MONODROMY OF THE IRREDUCIBLE COMPLEX REFLECTION ARRANGEMENTS [PDF]
Journal of the Institute of Mathematics of Jussieu, 2017 Using recent results by Măcinic, Papadima and Popescu, and a refinement of an older construction of ours, we determine the monodromy action on$H^{1}(F(G),\mathbb{C})$, where$F(G)$denotes the Milnor fiber of a hyperplane arrangement associated to an irreducible complex reflection group$G$.
Alexandru Dimca
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Restrictions of reflection arrangements and aspericity [PDF]
, 2017 1962 zeigten Fadell und Neuwirth, dass das Zopf-Arrangement asphärisch ist. Brieskorn verallgemeinerte dies 1971 auf viele relle Spiegelungsgruppen und stellte die Vermutung für alle Coxeter-Gruppen auf. Dies wurde 1972 von Deligne gezeigt, indem er die Vermutung für alle simplizialen Arrangements bewies. In den 1980er Jahren wiesen Nakamura, Orlik und
Amend, Nils (M. Sc.)
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First aid for a badly injured patent system
Prometheus, 2023 An academic lifetime of research on patents for invention led to conviction of how unfit for purpose current international arrangements have become, and to the proposal of several reforms (Kingston, 2010). What follows is the result of further reflection
William Kingston
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Nice Reflection Arrangements [PDF]
The Electronic Journal of Combinatorics, 2016 The aim of this note is a classification of all nice and all inductively factored reflection arrangements. It turns out that apart from the supersolvable instances only the monomial groups $G(r,r,3)$ for $r \ge 3$ give rise to nice reflection arrangements.
Torsten Hoge, Gerhard Röhrle
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Supersolvable reflection arrangements [PDF]
Proceedings of the American Mathematical Society, 2014 Let A = ( A
Hoge, Torsten, Röhrle, Gerhard
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A type B analog of the Lie representation [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 We describe a type B analog of the much studied Lie representation of the symmetric group. The nth Lie representation of Sn restricts to the regular representation of Sn−1, and our generalization mimics this property.
Andrew Berget
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