A direct proof of a generalized harish-chandra isomorphism

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A direct proof of a Harish-Chandra isomorphism recently established by Khoroshkin, Nazarov and Vinberg [10] involving Zhelobenko operators, is given. A key point is the computation of certain determinants analogous to those of Parthasarathy, Ranga Rao, Varadaragan [14]. This analysis avoids the passage to graded objects and the subsequent geometric arguments.
Original languageEnglish
Pages (from-to)513-521
Number of pages9
JournalTransformation Groups
Issue number2
StatePublished - Jun 2012


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