The higher spin Laplace operator in several vector variables
Mathematical Physics
2018-02-14 v1 Complex Variables
math.MP
Representation Theory
Abstract
In this paper, an explicit expression is obtained for the conformally invariant higher spin Laplace operator , which acts on functions taking values in an arbitrary (finite-dimensional) irreducible representation for the orthogonal group with integer valued highest weight. Once an explicit expression is obtained, a special kind of (polynomial) solutions of this operator is determined.
Cite
@article{arxiv.1706.03763,
title = {The higher spin Laplace operator in several vector variables},
author = {David Eelbode and Tim Raeymaekers and Matthias Roels},
journal= {arXiv preprint arXiv:1706.03763},
year = {2018}
}