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Words Separation and Positive Identities in Symmetric Groups
J. Autom. Lang. Comb., 2021Journal of Automata, Languages and Combinatorics, Volume 26, Numbers 1-2, 2021, 67 ...
Olga Karpova, Arseny M. Shur
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Identities of symmetric and skew-symmetric matrices in characteristicp
Rendiconti del Circolo Matematico di Palermo, 1995This paper is related to the Konstant-Rowen extension to skew-symmetric matrices of the Amitsur-Levitzki identity. A general method is provided, based on a graph theoretic approach, for deriving extensions of known permanental-type identities to skew-symmetric and symmetric matrices over a commutative ring of prime characteristic.
Révész, Gábor, Szigeti, Jenő
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Skew-Symmetric Differential Operatorsand Combinatorial Identities
In this paper, we classify all one-function skew-symmetric and super skew-symmetric differential operators by four combinatorial identities related to hyperbolic ...
Xu, XP
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Pairs of Symmetric and Skew-Symmetric Toeplitz Matrices with Identical Squares
Journal of Mathematical Sciences, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A symmetric generalization of an identity of Andrews and Yee
Discrete Mathematics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Victor J. W. Guo, Su-Dan Wang
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Some Symmetric Identities for the Multiple (p, q)-Hurwitz-Euler Eta Function
The main purpose of this paper is to find some interesting symmetric identities for the ( p , q ) -Hurwitz-Euler eta function in a complex field.
Cheon-Seoung Ryoo, Kyung-Won Hwang
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The identities of symmetric matrices.
2009Let $H\sb{n}$ denote the subspace of symmetric matrices of $M\sb{n},$ the full $n\times n$ matrix algebra with coefficients in a field F. Let $$T\sb{2n}(x\sb1,\...,x\sb{2n-1}; x\sb0)=\sum\limits\sb{\sigma\in S\sb{2n-1}\atop i\equiv 1, 2\ mod\ 4} (-1)\sp{\sigma+i-1}x\sb{\sigma(1)}\cdots \sbsp{x\sb0}{(i)}\cdots x\sb{\sigma(2n-1)},$$and $e(n) = n$ if n is
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Symmetric units and group identities
manuscripta mathematica, 1998In the paper under review the authors discuss when the set of symmetric units of a group ring satisfies a group identity. A unit of a group algebra is called a symmetric unit if it is stable under the involution coming from the natural Hopf algebra structure of the group ring.
Giambruno, A. +2 more
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Two Symmetric Identities Involving Complete and Elementary Symmetric Functions
Bulletin of the Malaysian Mathematical Sciences Society, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Symmetric identities in graded algebras
Archiv der Mathematik, 1997The interest in the symmetric polynomial identity \[ P_n(x_1,\ldots,x_n)=\sum_{\sigma\in S_n}x_{\sigma(1)}\ldots x_{\sigma(n)} \] in the theory of PI-algebras originates from the fact that over a field of characteristic 0 this identity is equivalent to the nil identity and the Nagata-Higman theorem gives that the algebra is nilpotent. The recent result
Bahturin, Y. A. +2 more
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