Results 1 to 10 of about 42,859 (179)
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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Lie conformal algebra cohomology and the variational complex [PDF]
Communications in Mathematical Physics, 2008 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.
A.M. Vinogradov +7 more
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The Lie conformal algebra of a Block type Lie algebra [PDF]
Algebra Colloquium, 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. Then we decide its conformal algebra B with ℂ[∂]-basis {Lα(w) | α ∈ ℤ} and λ-brackets [Lα(w)λ Lβ(w)]= (α∂+(α+β)λ) Lα+β(w). Finally, we give a classification
Ming Gao Ying Xu Xiaoqing Yue
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Statistical Lie algebras of a constant curvature and locally conformally Kähler Lie algebras [PDF]
, 2021 We show that a statistical manifold manifold of a constant non-zero curvature can be realised as a level line of Hessian potential on a Hessian cone. We construct a Sasakian structure on $TM\times\R$ by a statistical manifold manifold of a constant non-zero curvature on $M$. By a statistical Lie algebra of a constant non-zero Lie algebra we construct a
Pavel Osipov
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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], focusing mainly on the connections among these derivation algebras.
Sania Asif +3 more
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Conformal Lie 2-algebras and conformal omni-Lie algebras [PDF]
, 2022 The notions of conformal Lie 2-algebras and conformal omni-Lie algebras are introduced and studied. It is proved that the category of conformal Lie 2-algebras and the category of 2-term conformal $L_{\infty}$-algebras are equivalent. We construct conformal Lie 2-algebras from conformal omni-Lie algebras and Leibniz conformal algebras.
Tao Zhang
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Infinite rank Schrödinger-Virasoro type Lie conformal algebras [PDF]
Journal of Mathematical Physics, 2016 Motivated by the structure of certain modules over the loop Virasoro Lie conformal algebra and the Lie structures of Schrödinger-Virasoro algebras, we construct a class of infinite rank Lie conformal algebras CSV(a, b), where a, b are complex numbers. The conformal derivations of CSV(a, b) are uniformly determined. The rank one conformal modules and ℤ-
Guangzhe Fan, Yucai Su, Chunguang Xia
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On embedding of Lie conformal algebras into associative conformal algebras [PDF]
, 2004 We prove that a Lie conformal algebra L with bounded locality function is embeddable into an associative conformal algebra A with the same bound on the locality function. If L is nilpotent, then so is A, and the nilpotency index remains the same. We also give a list of open questions concerning the embedding of Lie conformal algebras into associative ...
Michael Roitman
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$n$-Lie conformal algebras and its associated infinite-dimensional $n$-Lie algebras [PDF]
, 2022 In this paper, we introduce a $\{λ_{1\to n-1}\}$-bracket and a distribution notion of an $n$-Lie conformal algebra. For any $n$-Lie conformal algebra $R$, there exists a series of associated infinite-dimensional linearly compact $n$-Lie algebras $\{(\mathscr{L}ie_p\mbox{ }R)_\_\}_{(p\ge1)}$. We show that torsionless finite $n$-Lie conformal algebras $R$
Mengjun Wang, Lipeng Luo, Zhixiang Wu
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Asymptotic symmetries of three dimensional gravity and the membrane paradigm
Journal of High Energy Physics, 2019 The asymptotic symmetry group of three-dimensional (anti) de Sitter space with Brown-Henneaux boundary conditions is the two dimensional conformal group with central charge c = 3ℓ/2G.
Mariana Carrillo-González +1 more
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