Geodesic
On the Polynomial Realization of the Reduced W-Algebra Uχ(sl2,e)
Journal of Lie theory, Tome 30 (2020) no. 4, pp. 1117-1129
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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 
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     author = {Y. Zeng and H. 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/JLT_2020_30_4_JLT_2020_30_4_a10/}
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Y. Zeng; H. 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/JLT_2020_30_4_JLT_2020_30_4_a10/