Results 21 to 30 of about 110,923 (229)
Simplicity of quadratic Lie conformal algebras [PDF]
Communications 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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Conformal Lie 2-algebras and conformal omni-Lie algebras
, 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
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Non-linear Lie conformal algebras with three generators [PDF]
Selecta Mathematica, 2007 We classify certain non-linear Lie conformal algebras with three generators, which can be viewed as deformations of the current Lie conformal algebra of sl_2.
Bakalov, Bojko, De Sole, Alberto
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Structure of locally conformally symplectic Lie algebras and solvmanifolds [PDF]
ANNALI 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
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Infinite-dimensional Lie algebras in 4D conformal quantum field theory [PDF]
, 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
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Realization of the Space of Conformal Blocks in Lie Algebra Modules
Journal of Algebra, 2001 AbstractUsing integrable irreducible representations of generalized twisted affine Lie algebra modules, we give a realization of the space of conformal blocks of conformal field theory on a stable algebraic curve. Many basic properties of the conformal blocks, such as finite dimensionality of the space, invariance of the conformal blocks under suitable
Xiandong Wang, Shen Guangyu
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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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Deformations and generalized derivations of Hom-Lie conformal algebras [PDF]
Science China Mathematics, 2017 The purpose of this paper is to extend the cohomology and conformal derivation theories of the classical Lie conformal algebras to Hom-Lie conformal algebras. In this paper, we develop cohomology theory of Hom-Lie conformal algebras and discuss some applications to the study of deformations of regular Hom-Lie conformal algebras.
Jun Zhao, Lamei Yuan, Liangyun Chen
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Computation of cohomology of Lie conformal and Poisson vertex algebras [PDF]
Selecta Mathematica, 2019 We develop methods for computation of Poisson vertex algebra cohomology. This cohomology is computed for the free bosonic and fermionic Poisson vertex (super)algebras, as well as for the universal affine and Virasoro Poisson vertex algebras. We establish
B. Bakalov, Alberto De Sole, V. Kac
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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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