Realizations of conformal current-type Lie algebras

Journal Article · Sat May 15 00:00:00 EDT 2010 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3397710· OSTI ID:21335957

Yufeng, Pei ^[1]; Chengming, Bai ^[2]

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1. Department of Mathematics, Shanghai Normal University, Guilin Road 100, Shanghai 200234 (China)
2. Chern Institute of Mathematics and LPMC, Nankai University, Tianjin 300071 (China)

In this paper we obtain the realizations of some infinite-dimensional Lie algebras, named 'conformal current-type Lie algebras', in terms of a two-dimensional Novikov algebra and its deformations. Furthermore, Ovsienko and Roger's loop cotangent Virasoro algebra, which can be regarded as a nice generalization of the Virasoro algebra with two space variables, is naturally realized as an affinization of the tensor product of a deformation of the two-dimensional Novikov algebra and the Laurent polynomial algebra. These realizations shed new light on various aspects of the structure and representation theory of the corresponding infinite-dimensional Lie algebras.

• OSTI ID: 21335957
• Journal Information: Journal of Mathematical Physics, Vol. 51, Issue 5; Other Information: DOI: 10.1063/1.3397710; (c) 2010 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
CURRENT ALGEBRA
DEFORMATION
LIE GROUPS
MATHEMATICAL SPACE
POLYNOMIALS
TENSORS
TWO-DIMENSIONAL CALCULATIONS