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Volume 16, Issue 3, September 2009, Pages 251 - 257
Novikov Superalgebras in Low Dimensions
Authors
Yifang Kang
Institute of Mathematics and Physics, Central South University of Forestry and Technology, Changsha Hunan, 410004, P. R. China
Zhiqi Chen*
School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, P. R. China,chenzhiqi@nankai.edu.cn
*Corresponding author.
Corresponding Author
Zhiqi Chen
Received 12 May 2008, Accepted 26 February 2009, Available Online 7 January 2021.
- DOI
- 10.1142/S1402925109000212How to use a DOI?
- Keywords
- Novikov superalgebra; Novikov algebra; admissible algebra; type N; type S
- Abstract
Novikov superalgebras are related to the quadratic conformal superalgebras which correspond to the Hamiltonian pairs and play fundamental role in the completely integrable systems. In this note, we divide Novikov superalgebras into two types: N and S. Then we show that the Novikov superalgebras of dimension up to 3 are of type N.
- Copyright
- © 2009 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
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Cite this article
TY - JOUR AU - Yifang Kang AU - Zhiqi Chen PY - 2021 DA - 2021/01/07 TI - Novikov Superalgebras in Low Dimensions JO - Journal of Nonlinear Mathematical Physics SP - 251 EP - 257 VL - 16 IS - 3 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925109000212 DO - 10.1142/S1402925109000212 ID - Kang2021 ER -