Results 11 to 20 of about 2,185 (265)
Leibniz bialgebras, relative Rota-Baxter operators and the classical Leibniz Yang-Baxter equation [PDF]
Journal of Noncommutative Geometry, 2020 In this paper, first we introduce the notion of a Leibniz bialgebra and show that matched pairs of Leibniz algebras, Manin triples of Leibniz algebras and Leibniz bialgebras are equivalent.
Sheng, Yunhe, Tang, Rong
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Averaging operators on groups, racks and Leibniz algebras
This paper considers averaging operators on various algebraic structures and studies the induced structures. We first introduce the notion of an averaging operator on a group $G$ and show that it induces a rack structure.
Das, Apurba
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Deformations of relative Rota–Baxter operators on Leibniz algebras [PDF]
International Journal of Geometric Methods in Modern Physics, 2020 In this paper, we introduce the cohomology theory of relative Rota–Baxter operators on Leibniz algebras. We use the cohomological approach to study linear and formal deformations of relative Rota–Baxter operators. In particular, the notion of Nijenhuis elements is introduced to characterize trivial linear deformations.
Rong Tang, Yunhe Sheng, Yanqiu Zhou
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Reynolds operators on Hom-Leibniz algebras
Filomat, 2023 In this paper, we first introduce the notion of Reynolds operators on Hom-Leibniz algebras and give some constructions. Furthermore, we define the cohomology of Reynolds operators, and use this cohomology to study deformations of Reynolds operators.
Dingguo Wanga, Yuanyuan Keb
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Physics analysis with Leibniz’s differential operators dn
Journal of the Korean Physical Society, 2023 AbstractWe introduce a systematic approach to represent Leibniz’s nth-order differential operator $$d^n$$ d n as the ratio of an infinite product of infinitesimal difference operators to an infinitesimal parameter.
U.-Rae Kim, Sungwoong Cho, Jungil Lee
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Twisted relative Rota-Baxter operators on Leibniz algebras and NS-Leibniz algebras
, 2021 19pages
Das, Apurba, Guo, Shuangjian
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A Leibniz differentiation formula for positive operators
Journal of Mathematical Analysis and Applications, 2002 It is shown that for \(n\to\infty\) the Leibnizian combination \(L_n'(fg)-fL_n'(g)-gL_n'(f)\) converges uniformly to zero on a compact interval \(W\) if the positive operators belong to a certain class (including Bernstein, Gauss-Weierstrass and many others), and if the moduli of continuity of \(f,g\) satisfy a certain condition. A counterexample shows
Impens, Chris, Gavrea, Ioan
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An alternative lattice field theory formulation inspired by lattice supersymmetry
Journal of High Energy Physics, 2017 We propose an unconventional formulation of lattice field theories which is quite general, although originally motivated by the quest of exact lattice supersymmetry. Two long standing problems have a solution in this context: 1) Each degree of freedom on
Alessandro D’Adda +2 more
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EPJ Web of Conferences, 2018 We propose a lattice field theory formulation which overcomes some fundamental diffculties in realizing exact supersymmetry on the lattice. The Leibniz rule for the difference operator can be recovered by defining a new product on the lattice, the star ...
D’Adda Alessandro +2 more
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T T ¯ $$ T\overline{T} $$ deformation of correlation functions
Journal of High Energy Physics, 2019 We study the evolution of correlation functions of local fields in a two-dimensional quantum field theory under the λT T ¯ $$ \lambda T\overline{T} $$ deformation, suitably regularized.
John Cardy
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