Matrix valued commuting differential operators with $A_2$ symmetry
Representation Theory
2017-09-22 v1
Abstract
We study the algebra of invariant differential operators on a certain homogeneous vector bundle over a Riemannian symmetric space of type . We computed radial parts of its generators explicitly to obtain matrix-valued commuting differential operators with symmetry. Moreover, we generalize the commuting differential operators with respect to a parameter and the potential function.
Cite
@article{arxiv.1709.07163,
title = {Matrix valued commuting differential operators with $A_2$ symmetry},
author = {Nobukazu Shimeno},
journal= {arXiv preprint arXiv:1709.07163},
year = {2017}
}