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math-ph2013★ 27 cited
Intertwining operators for l-conformal Galilei algebras and hierarchy of invariant equations
N. Aizawa, Y. Kimura, J. Segar
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 t…
math-ph2012
Highest weight representations and Kac determinants for a class of conformal Galilei algebras with central extension
Naruhiko Aizawa, Phillip S. Isaac, Yuta Kimura
We investigate the representations of a class of conformal Galilei algebras in one spatial dimension with central extension. This is done by explicitly constructing all singular ve…
math-ph2011★ 9 cited
Galilean conformal algebras in two spatial dimension
N. Aizawa, Y. Kimura
A class of infinite dimensional Galilean conformal algebra in (2+1) dimensional spacetime is studied. Each member of the class, denoted by \alg_{\ell}, is labelled by the parameter…