Results 181 to 190 of about 584,117 (206)

Differential Invariants of the 2D Conformal Lie Algebra Action [PDF]

Acta Applicandae Mathematicae, 2009
Motivated by the work of \textit{V. A. Gauhman} [Sov. Math., Dokl. 2, 1117--1121 (1961); translation from Dokl. Akad. Nauk SSSR 140, 15--18 (1961; Zbl 0124.37303)], the author deals with the conformal Lie algebra that corresponds to the Lie pseudogroup of all conformal transformations on the plane.
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Faithful Representations of Finite Type for Conformal Lie Algebras

Algebra and Logic, 2023
The paper contains six theorems by the author, originating from his dissertation defended in 2023. These results, published during the period 2019--2022, are devoted to finite conformal algebras, i.e., finitely generated modules over the polynomial algebra \( H=\mathbb C[\partial ]\).
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A class of Schrödinger–Virasoro type Lie conformal algebras

International Journal of Mathematics, 2015
In this paper, a class of Lie conformal algebras associated to a Schrödinger–Virasoro type Lie algebra is constructed, which is nonsimple and can be regarded as an extension of the Virasoro conformal algebra. Then conformal derivations, second cohomology group with trivial coefficients and conformal modules of rank 1 of this Lie conformal algebra are ...
Wang, Wei, Xu, Ying, Xia, Chunguang
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Representations of Lie conformal algebras related to Galilean conformal algebras

Communications in Algebra, 2021
Xiu Han, Dengyin Wang, Chunguang Xia
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Cohomology of finite Lie conformal algebras

Journal of Mathematical Physics
By using the energy operator introduced by Bakalov, De Sole, and Kac, we propose an algorithm for computing the cohomology of finitely generated free Lie conformal algebras with a Virasoro element. This computational method enables us to compute cohomologies with coefficients in their conformal modules, especially in adjoint modules.
Zhenyu Zhang, Lamei Yuan
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A new construction of Lie conformal algebras from formal distribution Lie algebras

Journal of Algebra
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fulin Chen, Xiaoling Liao, Shaobin Tan, Qing Wang   +3 more
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Conformally Flat Algebraic Ricci Solitons on Lie Groups

Mathematical Notes, 2018
A Ricci soliton is a pseudo-Riemannian manifold \((M,g)\) which admits a smooth vector field \(X\) on \(M\) such that \[ r=\Lambda g+L_{X}g \] where \(L_{X}\) denotes the Lie derivative in the direction of \(X\), \(r\) denotes the Ricci tensor and \(\Lambda\) is a real number (\(\Lambda =\frac{1}{n}\left( 2\mathrm{div}(X)+S\right)\), where \(n=\dim M\)
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Schrödinger-Virasoro Lie conformal algebras

Communications in Algebra, 2022
Mengjun Wang, Zhixiang Wu
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Representations of Lie conformal algebras related to Galilean conformal algebras

Communications in Algebra, 2022
Chunguang Xia, Dengyin Wang
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Classification of compatible left-symmetric conformal algebraic structures on the Lie conformal algebra W(a,b)

Communications in Algebra, 2018
Yanyong Hong
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