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Structures of W(2.2) Lie conformal algebra
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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Finite growth representations of infinite Lie conformal algebras [PDF]
Journal of Mathematical Physics, 2003 We classify all finite growth representations of all infinite rank subalgebras of the Lie conformal algebra gc1 that contain a Virasoro subalgebra.
Carina Boyallían +2 more
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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 derivation algebra [Formula: see text].
Guangzhe Fan, Yanyong Hong, Yucai Su
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Lie Conformal Algebra Cohomology and the Variational Complex [PDF]
Communications in Mathematical Physics, 2009 56 ...
DE SOLE, ALBERTO, Victor G. Kac
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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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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 is proposed.
Ümit Ertem
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On embedding of Lie conformal algebras into associative conformal algebras
, 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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Loop W(a,b) Lie conformal algebra [PDF]
International Journal of Mathematics, 2015 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.
Guangzhe Fan, Henan Wu, Bo Yu
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Conformal field theories with ZN and Lie algebra symmetries
Physics Letters B, 2004 We construct two-dimensional conformal field theories with a Z_N symmetry, based on the second solution of Fateev-Zamolodchikov for the parafermionic chiral algebra. Primary operators are classified according to their transformation properties under the dihedral group (Z_N x Z_2, where Z_2 stands for the Z_N charge conjugation), as singlets, [(N-1)/2 ...
Vladimir S. Dotsenko +2 more
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Galilean contractions of W-algebras
Nuclear Physics B, 2017 Infinite-dimensional Galilean conformal algebras can be constructed by contracting pairs of symmetry algebras in conformal field theory, such as W-algebras.
Jørgen Rasmussen, Christopher Raymond
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