Results 11 to 20 of about 761,977 (284)
Some Symmetric Identities Involving the Stirling Polynomials Under the Finite Symmetric Group
In the paper, the authors present some symmetric identities involving the Stirling polynomials and higher order Bernoulli polynomials under all permutations in the finite symmetric group of degree n.
Dongkyu Lim, Feng Qi
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Symmetric linear operator identities in quasigroups [PDF]
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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Skew-symmetric identities of octonions [PDF]
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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The involutive system of higher-spin equations
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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Factorial Characters and Tokuyama's Identity for Classical Groups [PDF]
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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Some symmetric polynomial and related identities [PDF]
In 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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Symmetric subgroups in modular group algebras [PDF]
This preprint is translated from the original journal publication in Russian: A. Konovalov and A. Tsapok, Symmetric subgroups of the normalised unit group of the modular group algebra of a finite p-group, Nauk. Visn. Uzhgorod. Univ., Ser. Mat., 9 (2004),
Krivokhata, A. G., Konovalov, Alexander
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Identities of the left-symmetric Witt algebras [PDF]
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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Differential Equations Associated with Two Variable Degenerate Hermite Polynomials
In this paper, we introduce the two variable degenerate Hermite polynomials and obtain some new symmetric identities for two variable degenerate Hermite polynomials.
Kyung-Won Hwang, Cheon Seoung Ryoo
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Some identities of type 2 q-Bernoulli polynomials
Recently, symmetric properties of some special polynomials arising from p-adic q-integrals on Z p ${\mathbb{Z}}_{p}$ have been investigated extensively by many researchers.
Sang Jo Yun, Jin-Woo Park
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