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Title: On infinite-dimensional 3-Lie algebras

In this paper, we study some properties of w{sub ∞} 3-Lie algebra and SDiff(T{sup 2}) 3-Lie algebra and prove that they do not have non-trivial central extensions.
Authors:
;  [1] ;  [2]
  1. Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190 (China)
  2. School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081 (China)
Publication Date:
OSTI Identifier:
22250804
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 4; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ALGEBRA; FIELD THEORIES; LIE GROUPS; POISSON EQUATION; STRING THEORY