Intertwining operators for l-conformal Galilei algebras and hierarchy of invariant equations
Mathematical Physics
2013-09-25 v2 math.MP
Abstract
l-Conformal Galilei algebra, denoted by g{l}{d}, is a non-semisimple Lie algebra specified by a pair of parameters (d,l). The algebra is regarded as a nonrelativistic analogue of the conformal algebra. We derive hierarchies of partial differential equations which have invariance of the group generated by g{l}{d} with central extension as kinematical symmetry. This is done by developing a representation theory such as Verma modules, singular vectors of g{l}{d} and vector field representations for d = 1, 2.
Keywords
Cite
@article{arxiv.1308.0121,
title = {Intertwining operators for l-conformal Galilei algebras and hierarchy of invariant equations},
author = {N. Aizawa and Y. Kimura and J. Segar},
journal= {arXiv preprint arXiv:1308.0121},
year = {2013}
}
Comments
16pages, version published in J. Phys. A:Math. Theore