We prove here that the definition of finite W-algebras via the Whittaker models, which goes back to Kostant, is equivalent to the one obtained by taking a certain homology of the H-twisted Zhu algebra of the universal enveloping vertex algebra of a suitable non-linear Lie conformal algebra.
Three equivalent definitions of finite W-algebras / D'Andrea, Alessandro; DE CONCINI, Corrado; DE SOLE, Alberto; Reimundo, Heluani; Kac, Victor G.. - In: JAPANESE JOURNAL OF MATHEMATICS. NEW SERIES. - ISSN 0289-2316. - STAMPA. - 1:1(2006), pp. 254-259.
Three equivalent definitions of finite W-algebras
D'ANDREA, Alessandro;Corrado De Concini;DE SOLE, ALBERTO;
2006
Abstract
We prove here that the definition of finite W-algebras via the Whittaker models, which goes back to Kostant, is equivalent to the one obtained by taking a certain homology of the H-twisted Zhu algebra of the universal enveloping vertex algebra of a suitable non-linear Lie conformal algebra.File allegati a questo prodotto
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