On The Polynomial Realization Of The Reduced W-Algebra U-X (Sl(2), E)

JOURNAL OF LIE THEORY（2020）

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Abstract

We study the structure of the reduced W-algebra U-x (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-x (sl(2)).

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Key words

Center, regular nilpotent, reduced W-algebra, reduced enveloping algebra

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