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A direct proof of a generalized harish-chandra isomorphism
Authors:ANTHONY JOSEPH
Affiliation:1. Donald Frey Professional Chair, Department of Mathematics, Weizmann Institute of Science, 2 Herzl Street, Rehovot, 76100, Israel
Abstract: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.
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