Results 21 to 30 of about 42,508 (228)

On Schrödinger-Virasoro type Lie conformal algebras [PDF]

Communications in Algebra, 2015
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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Lie algebra automorphisms in conformal field theory

, 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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Locally conformal SKT almost abelian Lie algebras

Linear Algebra and its Applications, 2022
20 ...
Louis-Brahim Beaufort, Anna Fino
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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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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, Xingtao 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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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 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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