Results 1 to 10 of about 344,627 (72)
Supersolvable orders and inductively free arrangements
Open Mathematics, 2017 In this paper, we define the supersolvable order of hyperplanes in a supersolvable arrangement, and obtain a class of inductively free arrangements according to this order.
Gao Ruimei, Cui Xiupeng, Li Zhe
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Gallery Posets of Supersolvable Arrangements [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We introduce a poset structure on the reduced galleries in a supersolvable arrangement of hyperplanes. In particular, for Coxeter groups of type A or B, we construct a poset of reduced words for the longest element whose Hasse diagram is the graph of ...
Thomas McConville
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On an explicit correspondence between nbc-basis, chambers and minimal complex for real supersolvable arrangements [PDF]
Australas. J Comb., 2019 In this paper we give a very natural description of the bijections between the set of cells in the minimal CW-complex homotopy equivalent to the complement of a complexified real supersolvable arrangement A, the nbc-basis of the Orlik-Solomon algebra ...
Torielli, Michele +2 more
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Two Generator Subalgebras Of Lie Algebras. [PDF]
, 2007 In [14] Thompson showed that a finite group G is solvable if and only if every twogenerated subgroup is solvable (Corollary 2, p. 388). Recently, Grunevald et al.
Bowman, Kevin +2 more
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Worpitzky-compatible subarrangements of braid arrangements and cocomparability graphs
Comptes Rendus. Mathématique, 2021 The class of Worpitzky-compatible subarrangements of a Weyl arrangement together with an associated Eulerian polynomial was recently introduced by Ashraf, Yoshinaga and the first author, which brings the characteristic and Ehrhart quasi-polynomials into ...
Tran, Tan Nhat, Tsuchiya, Akiyoshi
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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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Graded Linearity of Stanley–Reisner Ring of Broken Circuit Complexes
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 This paper introduces two new notions of graded linear resolution and graded linear quotients, which generalize the concepts of linear resolution property and linear quotient for modules over the polynomial ring A = k[x1, …, xn]. Besides, we compare graded linearity with componentwise linearity in general.
Mohammad Reza-Rahmati +2 more
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Supersolvable simplicial arrangements [PDF]
Advances in Applied Mathematics, 2019 Simplicial arrangements are classical objects in discrete geometry. Their classification remains an open problem but there is a list conjectured to be complete at least for rank three. A further important class in the theory of hyperplane arrangements with particularly nice geometric, algebraic, topological, and combinatorial properties are the ...
Michael Cuntz, Paul Mücksch
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The freeness of Ish arrangements [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 The Ish arrangement was introduced by Armstrong to give a new interpretation of the $q; t$-Catalan numbers of Garsia and Haiman. Armstrong and Rhoades showed that there are some striking similarities between the Shi arrangement and the Ish arrangement ...
Takuro Abe +2 more
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Supersolvability and Freeness for $$\psi $$ ψ -Graphical Arrangements [PDF]
Discrete & Computational Geometry, 2015 6 ...
Mu, Lili, Stanley, Richard P
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