Results 21 to 30 of about 42,262 (215)

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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Lie Bialgebra Structures and Quantization of Generalized Loop Planar Galilean Conformal Algebra

Axioms
In this paper, we analyze the Lie bialgebra (LB) and quantize the generalized loop planar-Galilean conformal algebra (GLPGCA) W(Γ). Additionally, we prove that all LB structures on W(Γ) possess a triangular coboundary.
Yu Yang, Xing Tao Wang
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Classification of rank two Lie conformal algebras

, 2017
19 ...
Rekha Biswal, Abdelkarim Chakhar, Xiao He   +2 more
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On Schrödinger-Virasoro type Lie conformal algebras [PDF]

Communications in Algebra, 2016
In this paper, two new classes of Schr dinger-Virasoro type Lie conformal algebras TSV(a,b) and TSV(c) which are non-simple are introduced for some a, b, c\in \mathbb{C}. Moreover, central extensions, conformal derivations and free conformal modules of rank 1 of TSV(a,b) and TSV(c) are determined.
Yanyong Hong
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The structure of locally conformally product Lie algebras [PDF]

23 ...
Viviana del Barco, Andrei Moroianu
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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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On a Class of Infinite Simple Lie Conformal Algebras [PDF]

Algebras and Representation Theory, 2021
In this paper, we study a class of infinite simple Lie conformal algebras associated to a class of generalized Block type Lie algebras. The central extensions, conformal derivations and free intermediate series modules of this class of Lie conformal algebras are determined.
Haibo Chen, Yanyong Hong, Yang Pan
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Conformal Symmetries of the Strumia–Tetradis’ Metric

Physical Sciences Forum, 2023
In a recent paper, a new conformally flat metric was introduced, describing an expanding scalar field in a spherically symmetric geometry. The spacetime can be interpreted as a Schwarzschild-like model with an apparent horizon surrounding the curvature ...
Pantelis S. Apostolopoulos, Christos Tsipogiannis   +1 more
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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.
Liangyun Chen, Lamei Yuan, Jun Zhao
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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 ...
Qiufan Chen, Henan Wu, Xiaoqing Yue
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