Publication date: 30 June 2022
Volume: Vol 57
Issue: Svezak 1
Pages: 17-33
DOI: https://doi.org/10.3336/gm.57.1.02
Original scientific paper
https://doi.org/10.3336/gm.57.1.02
Finite W-algebras associated to truncated current Lie algebras
Xiao He
; Paris Curie Engineer School, Beijing University of Chemical Technology, P.R.China
Finite W-algebras associated to truncated current Lie algebras are studied in this paper. We show that some properties of finite W-algebras in the semisimple case hold in the truncated current case. In particular, Kostant's theorem and Skryabin equivalence hold in our case. As an application, we give a classification of simple Whittaker modules for truncated current Lie algebras in the \(s\ell_2\) case.
Truncated current Lie algebras, Finite W-algebras, Skryabin equivalence, Whittaker modules.
279797
28.6.2022.
Visits: 464 *