Journal of Nonlinear Mathematical Physics

Volume 25, Issue 4, July 2018, Pages 518 - 527

Free-field realizations of the Wπ’œn,N-algebra

Authors
Yanyan Ge
School of Mathematical Science, University of Science and Technology of China, Hefei 230026, P.R. China,yanyange@mail.ustc.edu.cn
Kelei Tian*
School of Mathematics, Hefei university of Technology, Hefei 230009, P.R. China,kltian@ustc.edu.cn;kltian@hfut.edu.cn
Xiaoming Zhu
School of Mathematical Science, University of Science and Technology of China, Hefei 230026, P.R. China,zxm2017@mail.ustc.edu.cn
Dafeng Zuo
School of Mathematical Science, University of Science and Technology of China, Hefei 230026, P.R. China,dfzuo@ustc.edu.cn
*Corresponding author.
Corresponding Author
Kelei Tian
Received 19 September 2017, Accepted 12 April 2018, Available Online 6 January 2021.
DOI
10.1080/14029251.2018.1503397How to use a DOI?
Keywords
Wπ’œn,N , algebra; free-field realization
Abstract

In this paper, we will construct free-field realizations of the Wπ’œn,N algebra associated to an π’œn -valued differential operator

𝒧=Inβˆ‚N+UNβˆ’1βˆ‚Nβˆ’1+UNβˆ’2βˆ‚Nβˆ’2+β‹―U0,
where π’œn is a Frobenius algebra with the unit In.

Copyright
Β© 2018 The Authors. Published by Atlantis 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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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
25 - 4
Pages
518 - 527
Publication Date
2021/01/06
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1080/14029251.2018.1503397How to use a DOI?
Copyright
Β© 2018 The Authors. Published by Atlantis 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/).

Cite this article

TY  - JOUR
AU  - Yanyan Ge
AU  - Kelei Tian
AU  - Xiaoming Zhu
AU  - Dafeng Zuo
PY  - 2021
DA  - 2021/01/06
TI  - Free-field realizations of the Wπ’œn,N-algebra
JO  - Journal of Nonlinear Mathematical Physics
SP  - 518
EP  - 527
VL  - 25
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.1080/14029251.2018.1503397
DO  - 10.1080/14029251.2018.1503397
ID  - Ge2021
ER  -