26 citations · 148 across the 44 of their papers we have counts for
5 papers · 1 filter
On Conformal Powers of the Dirac Operator on Einstein Manifolds
Matthias Fischmann, Christian Krattenthaler, Petr Somberg
We determine the structure of conformal powers of the Dirac operator on Einstein {\it Spin}-manifolds in terms of the product formula for shifted Dirac operators. The result is bas…
Prolongation of symmetric Killing tensors and commuting symmetries of the Laplace operator
J. -P. Michel, P. Somberg, J. Šilhan
We determine the space of commuting symmetries of the Laplace operator on pseudo-Riemannian manifolds of constant curvature, and derive its algebra structure. Our construction is b…
On the Unitary Globalization of Cohomologically Induced Modules
Leticia Barchini, Petr Somberg
We describe the unitary globalization of cohomologically induced modules $A_{\fq}(λ)$. The purpose of the paper is to give a geometric realization of the unitarizable modules. Our…
Residue Family Operators on Spinors and Spectral Theory of Dirac operator on Poincaré-Einstein Spaces
Matthias Fischmann, Petr Somberg
We study conformal -subgeometry of submanifolds in a semi-Riemannian -manifold, focusing on conformal -manifolds and their Poincaré-Einstein metrics $(X…
Equivariant K-theory of compact Lie groups with involution
Po Hu, Igor Kriz, Petr Somberg
For a compact simply connected simple Lie group with an involution , we compute the -equivariant K-theory of where acts by conjugation and acts…