Invariant differential operators for the Jacobi algebra $ {\cal G}_2$
Representation Theory
2022-06-01 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
In the present paper we construct explicitly the intertwining differential operators for the Jacobi algebra For the construction we use the singular vectors of the Verma modules over which we have constructed earlier. We construct the function spaces on which the operators act. We display two versions of the left (representation) action and the right action. The latter is inserted in the singular vectors to provide the intertwining differential operators.
Keywords
Cite
@article{arxiv.2108.12813,
title = {Invariant differential operators for the Jacobi algebra $ {\cal G}_2$},
author = {N. Aizawa and V. K. Dobrev},
journal= {arXiv preprint arXiv:2108.12813},
year = {2022}
}
Comments
13 pages, no figure, version published in MPLA