Year: 2017
Type: preprint
Abstract: We study the algebra of invariant differential operators on a certain homogeneous vector bundle over a Riemannian symmetric space of type $A_2$. We computed radial parts of its generators explicitly to obtain matrix-valued commuting differential operators with $A_2$ symmetry. Moreover, we generalize the commuting differential operators with respect to a parameter and the potential function.
Source: arXiv (Cornell University)
Author: Shimeno, Nobukazu
Institution: Kwansei Gakuin University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2757515560