70 citations · 81 across the 3 of their papers we have counts for
3 papers
math-ph2011
Projectively Equivariant Quantization and Symbol calculus in dimension 1|2
Najla Mellouli
The spaces of higher-order differential operators (in Dimension 1|2), which are modules over the stringy Lie superalgebra K(2), are isomorphic to the corresponding spaces of symbol…
math-ph2009★ 11 cited
Second-Order Conformally Equivariant Quantization in Dimension 1|2
Najla Mellouli
This paper is the next step of an ambitious program to develop conformally equivariant quantization on supermanifolds. This problem was considered so far in (super)dimensions 1 and…
math-ph2006★ 70 cited
Differential operators on supercircle: conformally equivariant quantization and symbol calculus
Hichem Gargoubi, Najla Mellouli, Valentin Ovsienko
We consider the supercircle equipped with the standard contact structure. The conformal Lie superalgebra K(1) acts on as the Lie superalgebra of contact vector…