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Differential operators commuting with invariant functions

Authors
Journal
Commentarii Mathematici Helvetici
0010-2571
Publisher
European Mathematical Society Publishing House
Publication Date
Disciplines
  • Mathematics

Abstract

Let be a reductive, complex Lie algebra, with adjoint group G , let G act on the ring of differential operators via the adjoint action and write for the differential of this action. We prove that the commutant, in , of is the algebra generated by and , thereby answering a question of Barlet.

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