Results 11 to 20 of about 42,262 (215)

Simplicity of quadratic Lie conformal algebras [PDF]

open access: greenCommunications in Algebra, 2015
In this paper, simplicity of quadratic Lie conformal algebras are investigated. From the point view of the corresponding Gel'fand-Dorfman bialgebras, some sufficient conditions and necessary conditions to ensure simplicity of quadratic Lie conformal algebras are presented.
Yanyong Hong, Zhixiang Wu
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Infinite-dimensional Lie algebras in 4D conformal quantum field theory [PDF]

open access: green, 2008
The concept of global conformal invariance (GCI) opens the way of applying algebraic techniques, developed in the context of 2-dimensional chiral conformal field theory, to a higher (even) dimensional space-time.
Bojko Bakalov   +3 more
openalex   +3 more sources

Conformal Lie 2-algebras and conformal omni-Lie algebras

open access: green, 2023
The notions of conformal Lie 2-algebras and conformal omni-Lie algebras are introduced and studied. It is proved that the category of conformal Lie 2-algebras and the category of 2-term conformal $L_{\infty}$-algebras are equivalent. We construct conformal Lie 2-algebras from conformal omni-Lie algebras and Leibniz conformal algebras.
Tao Zhang
openalex   +4 more sources

Realization of the Space of Conformal Blocks in Lie Algebra Modules

open access: bronzeJournal of Algebra, 2001
In the paper under review the authors use integrable irreducible representations of generalized twisted affine Lie algebras to give a realization of the space of conformal blocks of conformal field theory on a stable algebraic curve. This allows the author to prove many of the basic properties of the conformal blocks, such as finite dimensionality of ...
Xiandong Wang, Shen Guangyu
openalex   +3 more sources

Structure of locally conformally symplectic Lie algebras and solvmanifolds [PDF]

open access: greenANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2018
We obtain structure results for locally conformally symplectic Lie algebras. We classify locally conformally symplectic structures on four-dimensional Lie algebras and construct locally conformally symplectic structures on compact quotients of all four-dimensional connected and simply connected solvable Lie groups.
Daniele Angella   +2 more
openalex   +5 more sources

The Lie Conformal Algebra of a Block Type Lie Algebra [PDF]

open access: greenAlgebra 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
Ming Gao, Ying Xu, Xiaoqing Yue
openalex   +3 more sources

Loop Heisenberg-Virasoro Lie conformal algebra [PDF]

open access: greenJournal of Mathematical Physics, 2014
Let HV be the loop Heisenberg-Virasoro Lie algebra over ℂ with basis {Lα,i, Hβ,j∣α, β, i, j ∈ ℤ} and brackets [Lα,i, Lβ,j] = (α − β) Lα+β,i+j, [Lα,i, Hβ,j] = − βHα+β,i+j, [Hα,i, Hβ,j] = 0. In this paper, a formal distribution Lie algebra of HV is constructed.
Guangzhe Fan, Yucai Su, Henan Wu
openalex   +6 more sources

Lie algebra automorphisms in conformal field theory

open access: green, 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
openalex   +4 more sources

Locally conformal SKT almost abelian Lie algebras

open access: greenLinear Algebra and its Applications, 2022
20 ...
Louis-Brahim Beaufort, Anna Fino
openalex   +5 more sources

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