Results 11 to 20 of about 786,832 (288)
Symmetric linear operator identities in quasigroups [PDF]
Commentationes Mathematicae Universitatis Carolinae, 2018 Summary: Let \(G\) be a quasigroup. Associativity of the operation on \(G\) can be expressed by the symbolic identity \(R_xL_y=L_yR_x\) of left and right multiplication maps; likewise, commutativity can be expressed by the identity \(L_x=R_x\).
Akhtar, Reza, Akhtar Reza
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On Symmetric Identities of Carlitz’s Type q-Daehee Polynomials
Discrete Dynamics in Nature and Society, 2019 In this paper, we study Carlitz’s type q-Daehee polynomials and investigate the symmetric identities for them by using the p-adic q-integral on Zp under the symmetry group of degree n.
Won Joo Kim +2 more
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Skew-symmetric identities of octonions
Journal of Pure and Applied Algebra, 2009 The paper under review is devoted to the classification of the multilinear skew-symmetric identities and central polynomials of the octonions over a field of characteristic \(0\). It turns out that any multilinear skew-symmetric identity of an octonion algebra over such a field is a consequence of an identity of degree \(5\) and two identities of ...
Shestakov, Ivan, Zhukavets, Natalia
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New symmetric identities of Carlitz's generalized twisted q-Bernoulli polynomials under S3 [PDF]
Mathematica Moravica, 2016 In this paper, the authors consider the Carlitz's generalized twisted q-Bernoulli polynomials attached to χ and investigate some novel symmetric identities for these polynomials arising from the p-adic q-integral on Zp under S3.
Duran Ugur, Acikgoz Mehmet
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Mathematics, 2020 In this paper, we introduce two-variable partially degenerate Hermite polynomials and get some new symmetric identities for two-variable partially degenerate Hermite polynomials.
Kyung-Won Hwang, Cheon Seoung Ryoo
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A symmetrical Eulerian identity [PDF]
Journal of Combinatorics, 2010 Eulerian numbers, introduced by Euler in 1736 [5], while not as ubiquitous as the more familiar Bernoulli numbers, Stirling numbers, harmonic numbers, or binomial coefficients, nevertheless arise in a variety of contexts in enumerative combinatorics, for example, in the enumeration of permutations with a given number of descents [7].
Fan Chung, Ron Graham, Don Knuth
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The involutive system of higher-spin equations
Nuclear Physics B, 2021 We revisit the problem of consistent free propagation of higher-spin fields in nontrivial backgrounds, focusing on symmetric tensor(-spinor)s. The Fierz-Pauli equations for massive fields in flat space form an involutive system, whose algebraic ...
Rakibur Rahman
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Some symmetric polynomial and related identities [PDF]
ریاضی و جامعهIn this paper, we study some symmetric polynomials and their properties. In addition to the elementary and complete symmetric polynomials, we consider the accumulative versions of these polynomials and using common combinatorial tools, particularly ...
Narges Ghareghani +1 more
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Factorial Characters and Tokuyama's Identity for Classical Groups [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 In this paper we introduce factorial characters for the classical groups and derive a number of central results. Classically, the factorial Schur function plays a fundamental role in traditional symmetric function theory and also in Schubert polynomial ...
Angèle M. Hamel, Ronald C. King
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Identities of the left-symmetric Witt algebras [PDF]
International Journal of Algebra and Computation, 2016 Let [Formula: see text] be the polynomial algebra over a field [Formula: see text] of characteristic zero in the variables [Formula: see text] and [Formula: see text] be the left-symmetric Witt algebra of all derivations of [Formula: see text] [D. Burde, Left-symmetric algebras, or pre-Lie algebras in geometry and physics, Cent. Eur. J. Math.
Daniyar Kozybaev, Ualbai Umirbaev
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