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Structures of W(2.2) Lie conformal algebra [PDF]

Open Mathematics, 2016
The purpose of this paper is to study W(2, 2) Lie conformal algebra, which has a free ℂ[∂]-basis {L, M} such that [LλL]=(∂+2λ)L,[LλM]=(∂+2λ)M,[MλM]=0$\begin{equation}[{L_\lambda }L] = (\partial + 2\lambda )L,[{L_\lambda }M] = (\partial + 2\lambda )M,[{M_\
Yuan Lamei, Wu Henan
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Conformal triple derivations and triple homomorphisms of Lie conformal algebras [PDF]

Algebra Colloquium, 2023
Let [Formula: see text] be a finite Lie conformal algebra. We investigate the conformal derivation algebra [Formula: see text], conformal triple derivation algebra [Formula: see text] and generalized conformal triple derivation algebra [Formula: see text]
Sania Asif, Lipeng Luo, Yanyong Hong, Zhixiang Wu   +3 more
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Finite irreducible conformal modules of rank two Lie conformal algebras [PDF]

Journal of Algebra and its Applications, 2020
In the present paper, we prove that any finite nontrivial irreducible module over a rank two Lie conformal algebra [Formula: see text] is of rank one.
Maosen Xu, Yanyong Hong, Zhixiang Wu
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The Lorentz Group Using Conformal Geometric Algebra and Split Quaternions for Color Image Processing: Theory and Practice

IEEE Access, 2023
The processing of color images is of great interest, because the human perception of color is a very complex process, still not well understood. In this article, firstly the authors present an analysis of the well-known mathematical methods used to model
Eduardo Bayro-Corrochano, Zuleima Vazquez-Flores, Ulises Uriostegui-Legorreta   +2 more
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The Lie conformal algebra of a Block type Lie algebra [PDF]

, 2012
Let L be a Lie algebra of Block type over ℂ with basis {Lα,i | α,i ∈ ℤ} and brackets [Lα,i,Lβ,j]=(β(i+1)-α(j+1)) Lα+β,i+j. In this paper, we first construct a formal distribution Lie algebra of L.
Ming Gao Ying Xu Xiaoqing Yue
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Lie Conformal Algebra Cohomology and the Variational Complex [PDF]

, 2009
We find an interpretation of the complex of variational calculus in terms of the Lie conformal algebra cohomology theory. This leads to a better understanding of both theories.
Alberto de Sole, Victor G. Kac, Alberto de Sole, Victor G. Kac   +3 more
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Another class of simple graded Lie conformal algebras that cannot be embedded into general Lie conformal algebras [PDF]

Journal of Algebra, 2021
Yucai Su, Xiaoqing Yue
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Filtered Lie conformal algebras whose associated graded algebras are isomorphic to that of general conformal algebra $gc_1$ [PDF]

, 2011
Yucai Su, Xiaoqing Yue
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Classification of finite irreducible conformal modules over Lie conformal algebra $ \mathcal{W}(a, b, r) $

Electronic Research Archive, 2021
We study a family of non-simple Lie conformal algebras \begin{document}$ \mathcal{W}(a,b,r) $\end{document} ( \begin{document}$ a,b,r\in {\mathbb{C}} $\end{document} ) of rank three with free \begin{document}$ {\mathbb{C}}[{\partial}] $\end{document ...
Wenjun Liu, Yukun Xiao, Xiaoqing Yue
semanticscholar   +1 more source

Conformal Symmetries of the Strumia–Tetradis’ Metric

Physical Sciences Forum, 2023
In a recent paper, a new conformally flat metric was introduced, describing an expanding scalar field in a spherically symmetric geometry. The spacetime can be interpreted as a Schwarzschild-like model with an apparent horizon surrounding the curvature ...
Pantelis S. Apostolopoulos, Christos Tsipogiannis   +1 more
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