Results 1 to 10 of about 353,793 (254)
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 +6 more sources
Lie algebra of conformal Killing-Yano forms [PDF]
Class. Quantum Grav. 33 (2016) 125033, 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 is proposed.
Ümit Ertem
arxiv +10 more sources
Generalized conformal derivations of Lie conformal algebras [PDF]
arXiv, 2016 Let $R$ be a Lie conformal algebra. The purpose of this paper is to investigate the conformal derivation algebra $CDer(R)$, the conformal quasiderivation algebra $QDer(R)$ and the generalized conformal derivation algebra $GDer(R)$. The generalized conformal derivation algebra is a natural generalization of the conformal derivation algebra.
Guangzhe Fan, Yanyong Hong, Yucai Su
arxiv +9 more sources
Another class of simple graded Lie conformal algebras that cannot be embedded into general Lie conformal algebras [PDF]
arXiv, 2021 In a previous paper by the authors, we obtain the first example of a finitely freely generated simple $\mathbb Z$-graded Lie conformal algebra of linear growth that cannot be embedded into any general Lie conformal algebra. In this paper, we obtain, as a byproduct, another class of such Lie conformal algebras by classifying $\mathbb Z$-graded simple ...
Yu-cai Su, Xiaoqing Yue
arxiv +7 more sources
On embedding of Lie conformal algebras into associative conformal algebras [PDF]
arXiv, 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
arxiv +5 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
semanticscholar +5 more sources
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 ...
Su, Yucai, Yue, Xiaoqing
core +6 more sources
Loop Virasoro Lie Conformal Algebra [PDF]
Journal of Mathematical Physics 55, 011706 (2014), 2013 The Lie conformal algebra of loop Virasoro algebra, denoted by $\mathscr{CW}$, is introduced in this paper. Explicitly, $\mathscr{CW}$ is a Lie conformal algebra with $\mathbb{C}[\partial]$-basis $\{L_i\,|\,i\in\mathbb{C}\}$ and $\lambda$-brackets $[L_i\, {}_\lambda \, L_j]=(-\partial-2\lambda) L_{i+j}$. Then conformal derivations of $\mathscr{CW}$ are
Henan Wu, Qiufan Chen, Xiaoqing Yue
arxiv +7 more sources
Conformal biderivations of loop $W(a,b)$ Lie conformal algebra [PDF]
arXiv, 2019 In this paper, we study conformal biderivations of a Lie conformal algebra. First, we give the definition of conformal biderivation. Next, we determine the conformal biderivations of loop $W(a,b)$ Lie conformal algebra, loop Virasoro Lie conformal algebra and Virasoro Lie conformal algebra.
Jun Zhao, Liangyun Chen, Lamei Yuan
arxiv +6 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
semanticscholar +7 more sources