Integrable systems, multicomponent twisted Heisenberg-Virasoro algebra and its central extensions

doi:10.1007/s11464-020-0891-4

Front. Math. China

2020, Vol. 15

Issue (6) : 1231-1243 https://doi.org/10.1007/s11464-020-0891-4

RESEARCH ARTICLE

Integrable systems, multicomponent twisted Heisenberg-Virasoro algebra and its central extensions

Yemo WU¹, Xiurong XU², Dafeng ZUO¹(

)

¹. School of Mathematical Science, University of Science and Technology of China, Hefei 230026, China
². School of Mathematics and Statistics, Suzhou University, Suzhou 234000, China

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Abstract

Let $D N$ be the multicomponent twisted Heisenberg-Virasoro algebra. We compute the second continuous cohomology group with coeficients in $ℂ$ and study the bihamiltonian Euler equations associated to $D N$ and its central extensions.

Keywords Bihamiltonian Euler equation multicomponent twisted Heisenberg-Virasoro algebra

Corresponding Author(s): Dafeng ZUO

Issue Date: 05 February 2021

Cite this article:

Yemo WU,Xiurong XU,Dafeng ZUO. Integrable systems, multicomponent twisted Heisenberg-Virasoro algebra and its central extensions[J]. Front. Math. China, 2020, 15(6): 1231-1243.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-020-0891-4
https://academic.hep.com.cn/fmc/EN/Y2020/V15/I6/1231

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