spo(2|2)-Equivariant Quantizations on the Supercircle S¹|²

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2013
• Main Authors: Mellouli, N., Nibirantiza, A., Radoux, F.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2013
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149350
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: spo(2|2)-Equivariant Quantizations on the Supercircle S¹|² / N. Mellouli, A. Nibirantiza, F. Radoux // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 27 назв. — англ.

We consider the space of differential operators Dλμ acting between λ- and μ-densities defined on S¹|² endowed with its standard contact structure. This contact structure allows one to define a filtration on Dλμ which is finer than the classical one, obtained by writting a differential operator in te...