One-dimensional infinitesimal-birational duality through differential operators

• Autorzy: Tomasz Maszczyk
• Języki publikacji: EN

Abstrakty

EN

The structure of filtered algebras of Grothendieck's differential operators on a smooth fat point in a curve and graded Poisson algebras of their principal symbols is explicitly determined. A related infinitesimal-birational duality realized by a Springer type resolution of singularities and the Fourier transformation is presented. This algebro-geometrical duality is quantized in appropriate sense and its quantum origin is explained.

Kategorie tematyczne

• 16S32: Rings of differential operators
• 16S30: Universal enveloping algebras of Lie algebras \SeeMainly{}
• 17B63: Poisson algebras
• 53D20: Momentum maps; symplectic reduction

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2006
• Tom: 191
• Numer: 1
• Strony: 23-43

Daty

wydano

2006

Twórcy

autor

Tomasz Maszczyk

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-956 Warszawa, Poland
• Institute of Mathematics, University of Warsaw, Banacha 2, 02-097 Warszawa, Poland

Identyfikatory

DOI

10.4064/fm191-1-2