Results 11 to 20 of about 42,859 (179)
Another class of simple graded Lie conformal algebras that cannot be embedded into general Lie conformal algebras [PDF]
Journal of Algebra, 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 ...
Yucai Su, Xiaoqing Yue
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Conformal Oscillator Representations of Orthogonal Lie Algebras [PDF]
Science China Mathematics, 2014 13pages
Xiaoping Xu
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Steinberg unitary Lie conformal algebras [PDF]
Journal of Mathematical Sciences, 2007 In this paper, we study Steinberg unitary Lie conformal algebras, which are universal central extensions of unitary Lie conformal algebras. We describe the kernels of these extensions by means of skew-dihedral homology.
A. V. Mikhalev, I. A. Pinchuk
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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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Freely Generated Vertex Algebras and Non?Linear Lie Conformal Algebras [PDF]
Communications in Mathematical Physics, 2005 We introduce the notion of a non--linear Lie conformal superalgebra and prove a PBW theorem for its universal enveloping vertex algebra. We also show that conversely any graded freely generated vertex algebra is the universal enveloping algebra of a non--linear Lie conformal superalgebra.
Alberto De Sole, Victor G. Kač
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Lie algebra automorphisms in conformal field theory [PDF]
, 2000 The role of automorphisms of infinite-dimensional Lie algebras in conformal field theory is examined. Two main types of applications are discussed; they are related to the enhancement and reduction of symmetry, respectively. The structures one encounters also appear in other areas of physics and mathematics.
Jürgen Fuchs, Christoph Schweigert
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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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Invariant differential operators for non-compact Lie algebras parabolically related to conformal Lie algebras [PDF]
Journal of High Energy Physics, 2013 AbstractIn the present paper we continue the project of systematic construction of invariant differential operators for non-compact semisimple Lie groups. Our starting points is the class of algebras, which we call ’conformal Lie algebras’ (CLA), which have very similar properties to the conformal algebras of Minkowski space-time, though our aim is to ...
V. K. Dobrev
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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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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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