Journal of Lie Theory

no. 4
On the Polynomial Realization of the Reduced W-Algebra Uχ(sl2,e)
Journal of Lie Theory, Volume 30 (2020) no. 4, pp. 1117-1129
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 $U_\chi(\mathfrak{sl}_2)$.
DOI: 10.5802/jolt.1153
Classification: 17B50, 17B05, 17B35
Keywords: Center, regular nilpotent, reduced W-algebra, reduced enveloping algebra 
@article{JOLT_2020_30_4_a10,
     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},
     doi = {10.5802/jolt.1153},
     zbl = {1471.17026},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1153/}
}
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Y. Zeng; H. Chang. On the Polynomial Realization of the Reduced W-Algebra Uχ(sl2,e). Journal of Lie Theory, Volume 30 (2020) no. 4, pp. 1117-1129. doi: 10.5802/jolt.1153

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