3 papers
math.CV2026
Cohomology of CR structures on compact Lie groups
Howard Jacobowitz, Max Reinhold Jahnke, VinÃcius Novelli +1
We show that, under a division condition, the tangential Cauchy--Riemann cohomology of a compact Lie group with a left-invariant CR structure can be computed on a suitable maximal…
math.AP2026
Real involutive systems on compact Lie groups
Gabriel Araújo, Igor A. Ferra, Max R. Jahnke +1
On a compact connected Lie group , we study the global solvability and the cohomology spaces of the differential complex associated with an essentially real involutive structure…
math.AP2024
A class of globally analytic hypoelliptic operators on compact Lie groups
Max Reinhold Jahnke, Nicholas Braun Rodrigues
We obtain global analytic hypoellipticity for a class of differential operators that can be expressed as a zero-order perturbation of a sum of squares of vector fields with real-an…