Results 11 to 20 of about 584,117 (206)

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_\
Lamei Yuan
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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.
Xing Tao Wang, Yu Yang
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Heisenberg-Lie commutation relations in Banach algebras. [PDF]

, 2009
Given q1, q2 ∈ ℂ { 0 }, we construct a unital Banach algebra Bq1, q2 that contains a universal normalised solution to the (q1, q2)-deformed Heisenberg-Lie commutation relations in the following specific ...
Laustsen, Niels Jakob, Silvestrov, Sergei D.   +1 more
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Elementary Lie Algebras and Lie A-Algebras. [PDF]

, 2007
A finite-dimensional Lie algebra L over a field F is called elementary if each of its subalgebras has trivial Frattini ideal; it is an A-algebra if every nilpotent subalgebra is abelian. The present paper is primarily concerned with the classification of
Varea, Vicente R., Towers, David A.
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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
openaire   +1 more source

On upper modular subalgebras of a Lie algebra. [PDF]

, 2004
This paper is a further contribution to the extensive study by a number of authors of the subalgebra lattice of a Lie algebra. We give some necessary and some sufficient conditions for a subalgebra to be upper modular.
Bowman, Kevin, Varea, Vicente R., Towers, David A.   +2 more
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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.
Hong, Yanyong, Pan, Yang, Chen, Haibo
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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
doaj   +1 more source

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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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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