Results 11 to 20 of about 268 (44)
Jucys-Murphy elements and Weingarten matrices [PDF]
, 2010 We provide a compact proof of the recent formula of Collins and Matsumoto for the Weingarten matrix of the orthogonal group using Jucys-Murphy elements.Comment: v2: added a ...
Zinn-Justin, P.
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Impartial avoidance and achievement games for generating symmetric and alternating groups [PDF]
, 2016 We study two impartial games introduced by Anderson and Harary. Both games are played by two players who alternately select previously-unselected elements of a finite group.
Benesh, Bret J. +2 more
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Bi-quartic parametric polynomial minimal surfaces
, 2015 Minimal surfaces with isothermal parameters admitting B\'{e}zier representation were studied by Cosin and Monterde. They showed that, up to an affine transformation, the Enneper surface is the only bi-cubic isothermal minimal surface.
Kassabov, Ognian, Vlachkova, Krassimira
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Shifted convolution and the Titchmarsh divisor problem over F_q[t] [PDF]
, 2015 In this paper we solve a function field analogue of classical problems in analytic number theory, concerning the auto-correlations of divisor functions, in the limit of a large finite field.Comment: 22 pages, updated ...
Bary-Soroker L +6 more
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1-Colored Archetypal Permutations and Strings of Degree n [PDF]
Memoirs of the Scientific Sections of the Romanian Academy, 2012 New notions related to permutations are introduced here. We present the string of a 1-colored permutation as a closed planar curve, the fundamental 1-colored permutation as an equivalence class related to the equivalence in strings of the 1-colored ...
Gheorghe Eduard Tara
doaj
Enumeration of bigrassmannian permutations below a permutation in Bruhat order
, 2010 In theory of Coxeter groups, bigrassmannian elements are well known as elements which have precisely one left descent and precisely one right descent.
A Björner +5 more
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Improved covering results for conjugacy classes of symmetric groups via hypercontractivity
Forum of Mathematics, SigmaWe study covering numbers of subsets of the symmetric group $S_n$ that exhibit closure under conjugation, known as normal sets. We show that for any $\epsilon>0$ , there exists $n_0$ such that if $n>n_0$ and A is a normal ...
Nathan Keller +2 more
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, 2012 Let $\H_n$ be the Iwahori-Hecke algebra of the symmetric group $S_n$, and let $Z(\H_n)$ denote its centre. Let $B={b_1,b_2,...,b_t}$ be a basis for $Z(\H_n)$ over $R=\Z[q,q^{-1}]$. Then $B$ is called \emph{multiplicative} if, for every $i$ and $j$, there
Francis, Andrew, Jones, Lenny
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Symmetric groups and conjugacy classes [PDF]
, 2007 Let S_n be the symmetric group on n-letters. Fix n>5. Given any nontrivial $\alpha,\beta\in S_n$, we prove that the product $\alpha^{S_n}\beta^{S_n}$ of the conjugacy classes $\alpha^{S_n}$ and $\beta^{S_n}$ is never a conjugacy class.
Adan-Bante E. +4 more
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Group-theoretic Approach for Symbolic Tensor Manipulation: II. Dummy Indices
, 2001 Computational Group Theory is applied to indexed objects (tensors, spinors, and so on) with dummy indices. There are two groups to consider: one describes the intrinsic symmetries of the object and the other describes the interchange of names of dummy ...
B. F. SVAITER +2 more
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