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Showing 2014 · math-phShow all
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math-ph2014★ 13 cited
-oscillators from second-order invariant PDEs of the centrally extended Conformal Galilei Algebras
N. Aizawa, Z. Kuznetsova, F. Toppan
We construct, for any given , the second-order, linear PDEs which are invariant under the centrally extended Conformal Galilei Algebra. \par At t…
math-ph2014★ 6 cited
Lowest Weight Representations, Singular Vectors and Invariant Equations for a Class of Conformal Galilei Algebras
Naruhiko Aizawa, Radhakrishnan Chandrashekar, Jambulingam Segar
The conformal Galilei algebra (CGA) is a non-semisimple Lie algebra labelled by two parameters and . The aim of the present work is to investigate the lowest weight repre…