Journal of Lie Theory 30 (2020), No. 4, 1117--1129
Copyright Heldermann Verlag 2020
On the Polynomial Realization of the Reduced W-Algebra Uχ(sl2,e)
Yang Zeng
School of Statistics and Mathematics, Nanjing Audit University, 211815 Nanjing, P. R. China
zengyang214@163.com
Hao Chang
School of Mathematics and Statistics, Central China Normal University, 430079 Wuhan, P. R. China
chang@mail.ccnu.edu.cn
[Abstract-pdf]
We study the structure of the reduced $W$-algebra $U_\chi(\mathfrak{sl}_2,e)$ with $e$ being regular nilpotent, over an algebraically closed field $k$ of characteristic $p>2$. As a consequence, we give a description of the center of the reduced enveloping algebra $U_\chi(\mathfrak{sl}_2)$.
Keywords: Center, regular nilpotent, reduced W-algebra, reduced enveloping algebra.
MSC: 17B50, 17B05, 17B35.
[ Fulltext-pdf (154 KB)] for subscribers only.