Abstract
We present here an infinite-dimensional Lie algebra, semi-direct product of the Poincaré Lie algebra ℘ by an infinite-dimensional abelian Lie algebra. It gives rise to Schur-irreducible subgroups of the unitary group of the (separable) Hilbert space, with a discrete mass-spectrum (real positive isolated mass-eigenvalues). Some related mathematical problems are also examined.
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