Results 61 to 70 of about 16,698 (215)
On q-deformed infinite-dimensional n-algebra
Nuclear Physics B, 2016 The q-deformation of the infinite-dimensional n-algebras is investigated. Based on the structure of the q-deformed Virasoro–Witt algebra, we derive a nontrivial q-deformed Virasoro–Witt n-algebra which is nothing but a sh-n-Lie algebra.
Lu Ding +4 more
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Volichenko Algebras as Algebras of Differential Operators
Journal of Nonlinear Mathematical Physics, 2006 Let \(k\) be a field of characteristic zero and \(\Gamma\) an Abelian group. Suppose that \(R\) is a \(\Gamma\)-graded associative \(k\)-algebra and \(M\) is a \(\Gamma\)-graded \(R\)-bimodule. Let \(M_{-1}=0\) and \(M_{i+1}\) for \(i\geqslant -1\) is defined as \(R\)-bimodule generated by all homogeneous elements \(m\in M\) such that \(mr-\beta(d_m ...
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On differential Rota–Baxter algebras
Journal of Pure and Applied Algebra, 2008 A Rota-Baxter operator of weight $λ$ is an abstraction of both the integral operator (when $λ=0$) and the summation operator (when $λ=1$). We similarly define a differential operator of weight $λ$ that includes both the differential operator (when $λ=0$) and the difference operator (when $λ=1$).
Guo, Li, Keigher, William
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Differential Gerstenhaber Algebras Associated to Nilpotent Algebras [PDF]
Asian Journal of Mathematics, 2008 30 Pages. 3 Tables. Proof of Theorem 29 is revised.
Cleyton, Richard, Poon, Yat-Sun
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Multivariable Calculus, Linear Algebra, and Differential Equations
, 1986 Multivariable Calculus, Linear Algebra, and Differential Equations, Second Edition contains a comprehensive coverage of the study of advanced calculus, linear algebra, and differential equations for sophomore college students.The text includes a large ...
Grossman, Stanley I.
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Generalised symmetries of remarkable (1+2)-dimensional Fokker–Planck equation
European Journal of Applied MathematicsUsing an original method, we find the algebra of generalised symmetries of a remarkable (1+2)-dimensional ultraparabolic Fokker–Planck equation, which is also called the Kolmogorov equation and is singled out within the entire class of ultraparabolic ...
Dmytro R. Popovych +2 more
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Stability of an additive-quadratic functional equation in modular spaces
Open MathematicsUsing the direct method, we prove the Hyers-Ulam-Rassias stability of the following functional equation: ϕ(x+y,z+w)+ϕ(x−y,z−w)−2ϕ(x,z)−2ϕ(x,w)=0\phi \left(x+y,z+w)+\phi \left(x-y,z-w)-2\phi \left(x,z)-2\phi \left(x,w)=0 in ρ\rho -complete convex modular ...
Baza Abderrahman +3 more
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Quantum Riemannian geometry of phase space and nonassociativity
Demonstratio Mathematica, 2017 Noncommutative or ‘quantum’ differential geometry has emerged in recent years as a process for quantizing not only a classical space into a noncommutative algebra (as familiar in quantum mechanics) but also differential forms, bundles and Riemannian ...
Beggs Edwin J., Majid Shahn
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Exceptional quantum geometry and particle physics
Nuclear Physics B, 2016 Based on an interpretation of the quark–lepton symmetry in terms of the unimodularity of the color group SU(3) and on the existence of 3 generations, we develop an argumentation suggesting that the “finite quantum space” corresponding to the exceptional ...
Michel Dubois-Violette
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On Differential Hopf Algebras and $$B_{\infty }$$ Algebras
Mediterranean Journal of MathematicsAbstract We establish a structure theorem analogous to the classical result of Milnor and Moore: any differential graded (not necessarily cocommutative) Hopf algebra H that is cofree as a coalgebra carries an underlying $$B_\infty $$ B ∞
Gálvez-Carrillo, Imma +2 more
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