Results 31 to 40 of about 17,658 (187)
Reflection factorizations and quasi-Coxeter elements
Journal of Combinatorial Algebra, 2023 We investigate the so-called dual Matsumoto property or Hurwitz action in finite, affine and arbitrary Coxeter groups. In particular, we want to investigate how to reduce reflection factorizations and how two reflection factorizations of the same ...
Wegener, Patrick, Yahiatene, Sophiane
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A simple characterization of special matchings in lower Bruhat intervals [PDF]
, 2017 We give a simple characterization of special matchings in lower Bruhat intervals (that is, intervals starting from the identity element) of a Coxeter group.
Caselli, Fabrizio, Marietti, Mario
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Coxeter elements and root bases
Journal of Algebra, 2011 Let g be a Lie algebra of type A,D,E with fixed Cartan subalgebra h, root system R and Weyl group W. We show that a choice of Coxeter element C gives a root basis for g. Moreover we show that this root basis gives a purely combinatorial construction of g, where root vectors correspond to vertices of a certain quiver $Gammahat$, and show that with ...
Kirillov, A., Thind, J.
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Evil Elements in Coxeter Groups
Journal of Algebra, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Perkins, Sarah B., Rowley, Peter J.
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Subword Complexes and Nil-Hecke Moves
Моделирование и анализ информационных систем, 2013 For a finite Coxeter group W, a subword complex is a simplicial complex associated with a pair (Q, ρ), where Q is a word in the alphabet of simple reflections, ρ is a group element.
M. A. Gorsky
doaj +3 more sources
Electrocatalytic CN Coupling: Advances in Urea Synthesis and Opportunities for Alternative Products. [PDF]
ChemSusChemThis review explores electrocatalytic urea synthesis via carbon–nitrogen (CN) coupling from CO2 and nitrogen species, specifically nitrate, nitrite, nitric oxide, and nitrogen gas. It discusses recent discoveries in catalyst design, reaction pathways, and detection methods. Future outlooks on industrial applications, alternative CN coupling products,
Ballard-Kyle P, Hsieh I, Zhu H.
europepmc +2 more sources
Garside families in Artin-Tits monoids and low elements in Coxeter groups [PDF]
, 2014 We show that every finitely generated Artin-Tits group admits a finite Garside family, by introducing the notion of a low element in a Coxeter group and proving that the family of all low elements in a Coxeter system (W, S) with S finite includes S and ...
Dehornoy, Patrick +2 more
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A categorification of non-crossing partitions [PDF]
, 2015 We present a categorification of the non-crossing partitions given by crystallographic Coxeter groups. This involves a category of certain bilinear lattices, which are essentially determined by a symmetrisable generalised Cartan matrix together with a ...
Hubery, Andrew, Krause, Henning
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On enumeration of conjugacy classes of Coxeter elements [PDF]
Proceedings of the American Mathematical Society, 2008 Added a few results about connections to the Tutte ...
Macauley, Matthew, Mortveit, Henning S.
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A note on the transitive Hurwitz action on decompositions of parabolic Coxeter elements [PDF]
, 2014 In this note, we provide a short and self-contained proof that the braid group on n strands acts transitively on the set of reduced factorizations of a Coxeter element in a Coxeter group of finite rank n into products of reflections.
Baumeister, Barbara +3 more
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