Highest Weight Theory for Finite W-Algebras

J Brundan, Simon Goodwin, A Kleshchev

Research output: Contribution to journalArticle

29 Citations (Scopus)


We define analogues of Verma modules for finite W-algebras. By the usual ideas of highest weight theory, this is a first step toward the classification of finite-dimensional irreducible modules. We also introduce an analogue of the BGG category O. Motivated by known results in type A, we then formulate some precise conjectures in the case of nilpotent orbits of standard Levi type.
Original languageEnglish
Pages (from-to)1-53
Number of pages53
JournalInternational Mathematics Research Notices
Issue number1
Publication statusPublished - 8 Jul 2008


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