Results 291 to 300 of about 1,043,180 (331)
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Skew-symmetric elements in the group algebra of a symmetric group
Algebra and Logic, 1984Let \(S_ n\) be the symmetric group on \(n\) letters and let \(\rho_ s=\sum_{t\in S_ n}(\text{sign}\;t)t^{-1}st\) for \(s\in S_ n\). The element \(\rho_ s\) depends only (up to a sign) on the conjugacy class of \(s\) and is non-zero if and only if the conjugacy class of \(s\) is determined by a partition with odd pairwise distinct parts. Let \(\lambda =
Zyrichev, A. N., Razmyslov, Yu. P.
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Ars Comb., 2012
In this work, infinite similarities of permutation groups are investigated by means of new methods. For this purpose, we handle distinct groups on the set of natural numbers and we give the separation of the subgroups of them. Afterwards, we give the matrix representation of this groups.
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In this work, infinite similarities of permutation groups are investigated by means of new methods. For this purpose, we handle distinct groups on the set of natural numbers and we give the separation of the subgroups of them. Afterwards, we give the matrix representation of this groups.
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Chromatic Polynomials and the Symmetric Group
Graphs and Combinatorics, 2004The author gives a new combinatorial interpretation of the coefficients of chromatic polynomials of graphs in terms of subsets of permutations and introduces a combinatorially defined polynomial associated to a directed graph. He proves that it is related to the chromatic polynomials.
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Designs and Representation of the Symmetric Group
Designs, Codes and Cryptography, 2003A spectral characterization ``à la Delsarte'' is given for colored designs held by codes over non-binary alphabets. The tools include association schemes and also the representation theory of the symmetric group: tableaux, Specht modules, and zonal functions.
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A Small Molecular Symmetric All‐Organic Lithium‐Ion Battery
Angewandte Chemie - International Edition, 2022Minglei Mao +2 more
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On the Representations of the Symmetric Group
American Journal of Mathematics, 1937openaire +2 more sources
Symmetric Tensors and Symmetric Tensor Rank
SIAM Journal on Matrix Analysis and Applications, 2008Pierre Comon +2 more
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