Results 11 to 20 of about 7,465 (167)

On the algebra generated by μ¯,∂¯,∂,μ\overline{\mu },\overline{\partial },\partial ,\mu

Complex Manifolds, 2023
In this note, we determine the structure of the associative algebra generated by the differential operators μ¯,∂¯,∂\overline{\mu },\overline{\partial },\partial , and μ\mu that act on complex-valued differential forms of almost complex manifolds.
Auyeung Shamuel, Guu Jin-Cheng, Hu Jiahao   +2 more
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Batalin-Vilkovisky formality for Chern-Simons theory

Journal of High Energy Physics, 2021
We prove that the differential graded Lie algebra of functionals associated to the Chern-Simons theory of a semisimple Lie algebra is homotopy abelian. For a general field theory, we show that the variational complex in the Batalin-Vilkovisky formalism ...
Ezra Getzler
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A simple construction of the Rumin algebra

Comptes Rendus. Mathématique, 2023
The Rumin algebra of a contact manifold is a contact invariant $C_\infty $-algebra of differential forms which computes the de Rham cohomology algebra.
Case, Jeffrey S.
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Differential algebraic Lie algebras [PDF]

Transactions of the American Mathematical Society, 1979
A class of infinite-dimensional Lie algebras over the field K \mathcal {K} of constants of a universal differential field U \mathcal {U} is studied. The simplest case, defined by homogeneous linear differential equations, is analyzed in detail, and those with underlying set
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Lie Symmetry Analysis of C1m,a,b Partial Differential Equations

Advances in Mathematical Physics, 2021
In this article, we discussed the Lie symmetry analysis of C1m,a,b fractional and integer order differential equations. The symmetry algebra of both differential equations is obtained and utilized to find the similarity reductions, invariant solutions ...
Hengtai Wang, Aminu Ma’aruf Nass, Zhiwei Zou   +2 more
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On associated solutions of the system of non-autonomous differential equations in the Lebesgue spaces

Журнал Белорусского государственного университета: Математика, информатика, 2022
Herein, we investigate systems of non-autonomous differential equations with generalised coefficients using the algebra of new generalised functions. We consider a system of non-autonomous differential equations with generalised coefficients as a system ...
Anastasia I. Zhuk, Helena N. Zashchuk
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Douglas' Factorization Theorem and Atomic System in Hilbert Pro-$C^{\ast}$-Modules [PDF]

Sahand Communications in Mathematical Analysis
In the present paper, we introduce  the generalized inverse operators, which have an exciting role in operator theory. We establish Douglas' factorization theorem type  for  the Hilbert pro-$C^{\ast}$-module.We introduce the notion of atomic system and ...
Mohamed Rossafi, Roumaissae Eljazzar, Ram Mohapatra   +2 more
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$U\left(\mathfrak{h}\right)$-Free Modules over the Lie Algebras of Differential Operators

Mathematics, 2022
This paper mainly considers a class of non-weight modules over the Lie algebra of the Weyl type. First, we construct the U(h)-free modules of rank one over the differential operator algebra.
Munayim Dilxat, Shoulan Gao, Dong Liu, Limeng Xia   +3 more
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On differential approximations of difference schemes [PDF]

Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021
The concept of the first differential approximation was introduced in the 1950s for the analysis of difference schemes by A. I. Zhukov  and then was used to study the quality of difference schemes approximating equations in partial derivatives.
Blinkov, Yuri Anatolievich, Malykh, Mikhail D., Sevastianov, Leonid A.   +2 more
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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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