Quantification par déformation et distributions invariantes

Translated title of the contribution: Deformation quantization and invariant distributions

Martin Andler, Alexander Dvorsky, Siddhartha Sahi

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We study Kontsevich's deformation quantization for the dual of a finite-dimensional Lie algebra g. Regarding elements of S(g) as distributions on g, we show that the *-multiplication operator (r → r * p) is a differential operator with analytic germ at 0. We use this to establish a conjecture of Kashiwara and Vergne which, in turn, gives a new proof of Duflo's result on the local solvability of bi-invariant differential operators on a Lie group.

Original languageFrench
Pages (from-to)115-120
Number of pages6
JournalComptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume330
Issue number2
DOIs
StatePublished - Jan 15 2000
Externally publishedYes

Fingerprint

Local Solvability
Invariant Differential Operators
Deformation Quantization
Invariant Distribution
Multiplication Operator
Finite Dimensional Algebra
Differential operator
Lie Algebra

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Quantification par déformation et distributions invariantes. / Andler, Martin; Dvorsky, Alexander; Sahi, Siddhartha.

In: Comptes Rendus de l'Academie des Sciences - Series I: Mathematics, Vol. 330, No. 2, 15.01.2000, p. 115-120.

Research output: Contribution to journalArticle

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