Results 11 to 20 of about 43,068 (192)
Loop Virasoro Lie conformal algebra [PDF]
Journal of Mathematical Physics, 2014 The Lie conformal algebra of loop Virasoro algebra, denoted by \documentclass[12pt]{minimal}\begin{document}$\mathscr {CW}$\end{document}CW, is introduced in this paper. Explicitly, \documentclass[12pt]{minimal}\begin{document}$\mathscr {CW}$\end{document}CW is a Lie conformal algebra with \documentclass[12pt]{minimal}\begin{document}$\mathbb {C ...
Wu, Henan, Chen, Qiufan, Yue, Xiaoqing
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Schrödinger-Virasoro Lie conformal algebra [PDF]
Journal of Mathematical Physics, 2013 We first construct two new nonsimple conformal algebras associated with the Schrödinger-Virasoro Lie algebra and the extended Schrödinger-Virasoro Lie algebra, respectively. Then we study conformal derivations and free nontrivial rank one conformal modules of these two conformal algebras.
Su, Yucai, Yuan, Lamei
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Conformal biderivations of loop W(a, b) Lie conformal algebra [PDF]
Frontiers of Mathematics, 2021 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.
Zhao, Jun, Chen, Liangyun, Yuan, Lamei
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Finite growth representations of infinite Lie conformal algebras [PDF]
Journal of Mathematical Physics, 2002 We classify all finite growth representations of all infinite rank subalgebras of the Lie conformal algebra gc_1 that contain a Virasoro subalgebra.Comment: 22 ...
Awata +6 more
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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, 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. 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
Gao, Ming, Xu, Ying, Yue, Xiaoqing
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Loop Schrödinger–Virasoro Lie conformal algebra [PDF]
International Journal of Mathematics, 2016 In this paper, we introduce two kinds of Lie conformal algebras, associated with the loop Schrödinger–Virasoro Lie algebra and the extended loop Schrödinger–Virasoro Lie algebra, respectively. The conformal derivations, the second cohomology groups of these two conformal algebras are completely determined. And nontrivial free conformal modules of rank
Chen, Haibo +3 more
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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 {Lα,i, Hβ,j∣α, β, i, j ∈ ℤ} and brackets [Lα,i, Lβ,j] = (α − β) Lα+β,i+j, [Lα,i, Hβ,j] = − βHα+β,i+j, [Hα,i, Hβ,j] = 0. In this paper, a formal distribution Lie algebra of HV is constructed.
Guangzhe Fan, Yucai Su, Henan Wu
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Generalized conformal derivations of Lie conformal algebras [PDF]
Journal of Algebra and Its Applications, 2019 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 derivation algebra [Formula: see text].
Fan, Guangzhe, Hong, Yanyong, Su, Yucai
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Loop W(a,b) Lie conformal algebra [PDF]
International Journal of Mathematics, 2016 Fix [Formula: see text], let [Formula: see text] be the loop [Formula: see text] Lie algebra over [Formula: see text] with basis [Formula: see text] and relations [Formula: see text], where [Formula: see text]. In this paper, a formal distribution Lie algebra of [Formula: see text] is constructed.
Fan, Guangzhe, Wu, Henan, Yu, Bo
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