Results 11 to 20 of about 350,450 (63)
Shi arrangements and low elements in Coxeter groups [PDF]
Proceedings of the London Mathematical Society, Volume 129, Issue 2, August 2024.Given an arbitrary Coxeter system $(W,S)$ and a nonnegative integer $m$, the $m$-Shi arrangement of $(W,S)$ is a subarrangement of the Coxeter hyperplane arrangement of $(W,S)$.
Fishel, Susanna +3 more
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Harold Coxeter Interview October 1978
, 1978 NOTE: to view these items please visit http://dynkincollection.library.cornell.eduInterview conducted by Eugene Dynkin with Harold Scott MacDonald Coxeter October 1978 in Ontario ...
Coxeter, Harold
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The Varchenko determinant of a Coxeter arrangement [PDF]
, 2021 The Varchenko determinant is the determinant of a matrix defined from an arrangement of hyperplanes. Varchenko proved that this determinant has a beautiful factorization.
Randriamaro, Hery, Pfeiffer, Götz
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, 2003 Matroids appear in diverse areas of mathematics, from combinatorics to algebraic topology and geometry. This largely self-contained work provides an intuitive and interdisciplinary treatment of Coxeter matroids, a new and beautiful generalization of ...
White, Neil +2 more
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A note on maximal length elements in conjugacy classes of finite coxeter groups [PDF]
, 2010 The maximal lengths of elements in each of the conjugacy classes of Coxeter groups of types $B_n$, $D_n$ and $E_6$ are determined.
Rowley, P.J., Hart, Sarah
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SusMat, Volume 3, Issue 6, Page 781-820, December 2023., 2023 Electrocatalytic C─N coupling using CO2 and biomass as carbon sources holds great promise for the synthesis of organic nitrogen compounds. This review summarizes the recent research progress in electrocatalytic C─N coupling, mainly focusing on material design and working mechanisms.
Hao Jiang +6 more
wiley +1 more source
Symmetric Presentations of Coxeter Groups [PDF]
, 2011 We apply the techniques of symmetric generation to establish the standard presentations of the finite simply laced irreducible finite Coxeter groups, that is, the Coxeter groups of types An, Dn and En, and show that these are naturally arrived at purely ...
Fairbairn, Ben, Ben Fairbairn
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Enantiomeric discrimination by chiral electromagnetic resonance enhancement
Chirality, Volume 35, Issue 10, Page 732-738, October 2023., 2023 The origin of enantiomeric discrimination arising because of the interaction between gold tetrahelices and molecules with helical chirality is explained based on scattered field enhancement. Weakly scattering chiral molecules are detectable in the near vicinity of gold tetrahelices upon illumination by a plane polarized electromagnetic wave.
Prashant Kumar +2 more
wiley +1 more source
Involution products in Coxeter groups [PDF]
, 2011 For W a Coxeter group, let = {w ∈ W | w = xy where x, y ∈ W and x 2 = 1 = y 2}. It is well known that if W is finite then W = . Suppose that w ∈ . Then the minimum value of ℓ(x) + ℓ(y) – ℓ(w), where x, y ∈ W with w = xy and x 2 = 1 = y 2, is called
P. J. Rowley +6 more
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Associahedra for finite‐type cluster algebras and minimal relations between g‐vectors
Proceedings of the London Mathematical Society, Volume 127, Issue 3, Page 513-588, September 2023., 2023 Abstract We show that the mesh mutations are the minimal relations among the g${\bm{g}}$‐vectors with respect to any initial seed in any finite‐type cluster algebra. We then use this algebraic result to derive geometric properties of the g${\bm{g}}$‐vector fan: we show that the space of all its polytopal realizations is a simplicial cone, and we then ...
Arnau Padrol +3 more
wiley +1 more source