Results 1 to 10 of about 217,328 (136)
Minimal length elements of finite Coxeter groups [PDF]
Duke Mathematical Journal, 2012 19 ...
Xuhua He
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An Efficient Multicore Algorithm for Minimal Length Addition Chains
Computers, 2019 A minimal length addition chain for a positive integer m is a finite sequence of positive integers such that (1) the first and last elements in the sequence are 1 and m, respectively, (2) any element greater than 1 in the sequence is the addition of two ...
Hazem M. Bahig, Yasser Kotb
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Affineness of Deligne–Lusztig varieties for minimal length elements
Journal of Algebra, 2008 We prove that the Deligne-Lusztig varieties associated to elements of the Weyl group which are of minimal length in their twisted class are affine. Our proof differs from the proof of He and Orlik-Rapoport and it is inspired by the case of regular elements, which correspond to the varieties involved in Broué's conjectures.
Cedric Bonnafe, Raphaël Rouquier
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Minimal length elements in some double cosets of Coxeter groups
Advances in Mathematics, 2007 We study the minimal length elements in some double cosets of Coxeter groups and use them to study Lusztig's $G$-stable pieces and the generalization of $G$-stable pieces introduced by Lu and Yakimov. We also use them to study the minimal length elements in a conjugacy class of a finite Coxeter group and prove a conjecture in \cite{GKP}.
Xuhua He
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Minimal length elements of Thompson’s groups F(p)
Geometriae Dedicata, 2009 We describe a method for determining the minimal length of elements in the generalized Thompson's groups F(p). We compute the length of an element by constructing a tree pair diagram for the element, classifying the nodes of the tree and summing associated weights from the pairs of node classifications.
Sean Cleary, Cleary Sean
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Minimal Length Elements in Twisted Conjugacy Classes of Finite Coxeter Groups
Journal of Algebra, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Meinolf Geck +2 more
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Minimal length elements of Coxeter groups
Journal of Algebra, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Minimal length elements of extended affine Weyl groups [PDF]
Compositio Mathematica, 2014 Abstract Let $W$ be an extended affine Weyl group. We prove that the minimal length elements
He, Xuhua, Nie, Sian
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Consequences of minimal length discretization on line element, metric tensor, and geodesic equation [PDF]
Astronomische Nachrichten, 2021 When minimal length uncertainty emerging from a generalized uncertainty principle (GUP) is thoughtfully implemented, it is of great interest to consider its impacts on gravitational Einstein field equations (gEFEs) and to try to assess consequential modifications in metric manifesting properties of quantum geometry due to quantum gravity.
A. Tawfik +3 more
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Universality of minimal length
Physics Letters B, 2022 We present an argument reinterpreting the generalized uncertainty principle (GUP) and its associated minimal length as an effective variation of Planck constant (ħ), complementing Dirac's large number hypothesis of varying G.
Ahmed Farag Ali +2 more
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