Results 1 to 10 of about 110,923 (229)
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
doaj +7 more sources
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 +3 more
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Filtered Lie conformal algebras whose associated graded algebras are isomorphic to that of general conformal algebra $gc_1$ [PDF]
, 2011 Let $G$ be a filtered Lie conformal algebra whose associated graded conformal algebra is isomorphic to that of general conformal algebra $gc_1$. In this paper, we prove that $G\cong gc_1$ or ${\rm gr\,}gc_1$ (the associated graded conformal algebra of ...
Yucai Su, Xiaoqing Yue
semanticscholar +6 more sources
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. Sole, V. Kac
semanticscholar +8 more sources
Loop W(a,b) Lie conformal algebra [PDF]
International Journal of Mathematics, 2015 Fix $a,b\in\C$, let $LW(a,b)$ be the loop $W(a,b)$ Lie algebra over $\C$ with basis $\{L_{\a,i},I_{\b,j} \mid \a,\b,i,j\in\Z\}$ and relations $[L_{\a,i},L_{\b,j}]=(\a-\b)L_{\a+\b,i+j}, [L_{\a,i},I_{\b,j}]=-(a+b\a+\b)I_{\a+\b,i+j},[I_{\a,i},I_{\b,j}]=0 ...
Guangzhe Fan, Henan Wu, Bo Yu
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Generalized conformal derivations of Lie conformal algebras [PDF]
Journal of Algebra and Its Applications, 2016 Let [Formula: see text] be a finite Lie conformal algebra. The purpose of this paper is to investigate the conformal derivation algebra [Formula: see text], the conformal quasiderivation algebra [Formula: see text] and the generalized conformal ...
Guangzhe Fan, Yanyong Hong, Yucai Su
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Lie algebra of conformal Killing–Yano forms [PDF]
Classical and Quantum Gravity, 2016 We provide a generalization of the Lie algebra of conformal Killing vector fields to conformal Killing–Yano forms. A new Lie bracket for conformal Killing–Yano forms that corresponds to slightly modified Schouten–Nijenhuis bracket of differential forms ...
Ümit Ertem
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The Lie Conformal Algebra of a Block Type Lie Algebra [PDF]
Algebra Colloquium, 2015 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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Loop Heisenberg-Virasoro Lie conformal algebra [PDF]
Journal of Mathematical Physics, 2014 Let $HV$ be the loop Heisenberg-Virasoro Lie algebra over $\C$ with basis $\{L_{\a,i},H_{\b,j}\,|\,\a,\,\b,i,j\in\Z\}$ and brackets $[L_{\a,i},L_{\b,j}]=(\a-\b)L_{\a+\b,i+j}, [L_{\a,i},H_{\b,j}]=-\b H_{\a+\b,i+j},[H_{\a,i},H_{\b,j}]=0$.
Guangzhe Fan, Yucai Su, Henan Wu
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Structure of a class of Lie conformal algebras of Block type [PDF]
Communications in Algebra, 2020 Let p be a nonzero complex number. Recently, a class of infinite rank Lie conformal algebras was introduced. In this article, we study structure theory of this class of Lie conformal algebras.
Wei Wang, Chunguang Xia, Li Liu
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