Non-formal Deformation Quantization of the Heisenberg Supergroup
(2010) Colloquium “Analysis and Symmetries” — Location: Université de Reims (20.October.2010)
Files
No attached file found for this publication.
Details
- Authors
- Abstract
- We present the construction of a non-formal deformation machinery for the actions of the Heisenberg supergroup analogue to the one developed by M. Rieffel for the actions of Rd . However, the method used here differs from Rieffel’s one: we obtain a Universal Deformation Formula for the actions of Rm|n as a byproduct of Weyl ordered Kirillov’s orbit method adapted to the graded setting. To do so, we have to introduce the notion of C∗-superalgebra, which is compatible with the deformation, and which can be seen as corresponding to noncommutative superspaces.
- Affiliations
Citations
Marcillaud de Goursac, A. (2010). Non-formal Deformation Quantization of the Heisenberg Supergroup. Colloquium “Analysis and Symmetries”, Université de Reims. https://hdl.handle.net/2078.5/202288