Results 121 to 130 of about 17,658 (187)
On the trace of Coxeter elements
Let W be a Weyl group and let w be a Coxeter elememt of minimal length of W. In the early 1970's I.G.Macdonald stated that the trace of w on an irreducible representation of W is 0,1 or -1. In this paper we give a proof of this statement and of an Iwahori-Hecke algebra version of it.
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Hurwitz numbers for reflection groups II: Parabolic quasi-Coxeter elements
Journal of AlgebraWe define parabolic quasi-Coxeter elements in well generated complex reflection groups. We characterize them in multiple natural ways, and we study two combinatorial objects associated with them: the collections $\operatorname{Red}_W(g)$ of reduced reflection factorizations of $g$ and $\operatorname{RGS}(W,g)$ of the relative generating sets of $g$. We
Theo Douvropoulos +2 more
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Geometric realizations of abstract regular polyhedra with automorphism group H3. [PDF]
Acta Crystallogr A Found Adv, 2020 Aranas JAL, Loyola ML.
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Deligne-Lusztig theoretic derivation for Weyl groups of the number of reflection factorizations of a Coxeter element [PDF]
, 2015 Jean Michel
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Free Field Realisation of the Chiral Universal Centraliser. [PDF]
Ann Henri Poincare, 2023 Beem C, Nair S.
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Platinum-Cobalt Nanowires for Efficient Alcohol Oxidation Electrocatalysis. [PDF]
Materials (Basel), 2023 Wang W +5 more
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A Path-Deformation Framework for Determining Weighted Genome Rearrangement Distance. [PDF]
Front Genet, 2020 Bhatia S +5 more
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The Euler characteristic as a basis for teaching topology concepts to crystallographers. [PDF]
J Appl Crystallogr, 2022 Naskręcki B, Jaskolski M, Dauter Z.
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Arithmetic of arithmetic Coxeter groups. [PDF]
Proc Natl Acad Sci U S A, 2019 Milea S, Shelley CD, Weissman MH.
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