Geodesic
On the Polynomial Realization of the Reduced W-Algebra Uχ(sl2,e)
Yang Zeng1 ; Hao Chang2
1School of Statistics and Mathematics, Nanjing Audit University, 211815 Nanjing, P. R. China
2School of Mathematics and Statistics, Central China Normal University, 430079 Wuhan, P. R. China
Journal of Lie Theory, Tome 30 (2020) no. 4, pp. 1117-1129

Voir la notice de l'article provenant de la source Heldermann Verlag

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 $U_\chi(\mathfrak{sl}_2)$.
Classification : 17B50, 17B05, 17B35
Mots-clés : Center, regular nilpotent, reduced W-algebra, reduced enveloping algebra

Yang Zeng  1   ; Hao Chang  2

1 School of Statistics and Mathematics, Nanjing Audit University, 211815 Nanjing, P. R. China
2 School of Mathematics and Statistics, Central China Normal University, 430079 Wuhan, P. R. China 
Yang Zeng; Hao Chang. On the Polynomial Realization of the Reduced W-Algebra Uχ(sl2,e). Journal of Lie Theory, Tome 30 (2020) no. 4, pp. 1117-1129. http://geodesic.mathdoc.fr/item/JOLT_2020_30_4_a10/
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     author = {Yang Zeng and Hao Chang},
     title = {On the {Polynomial} {Realization} of the {Reduced} {W-Algebra} {U\protect\textsubscript{\ensuremath{\chi}}(sl\protect\textsubscript{2},e)}},
     journal = {Journal of Lie Theory},
     pages = {1117--1129},
     year = {2020},
     volume = {30},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2020_30_4_a10/}
}
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