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Nontrivial central extensions of 3-Lie algebras

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Publication:2939201
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DOI10.1063/1.4904018zbMath1310.81081OpenAlexW1966268082MaRDI QIDQ2939201

Zhao-Wen Yan, Wei Zhang, Lu Ding, Hui Ping Zhang

Publication date: 19 January 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4904018



Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Centralizing and normalizing extensions (16S20)




Cites Work

  • Unnamed Item
  • \(W_{\infty }3\)-algebra
  • Super \(w_{\infty}\) 3-algebra
  • Infinite-dimensional algebras, sine brackets, and SU(\(\infty)\)
  • Algebraic structures on parallel M2 branes
  • On foundation of the generalized Nambu mechanics
  • Infinite-dimensional 3-algebra and integrable system
  • n-ary algebras: a review with applications
  • Generalized Hamiltonian Dynamics
  • On infinite-dimensional 3-Lie algebras




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