Abstract
We analyse the ladder representations from an algebraic point of view. We find that these representations are closely connected to the representation of the left multiplication of the algebra of all polynomialsU/J of the creation and annihilation operators. It turns out that the ladder representations appear as a projection of the left multiplications on a subspace ofU/J. The algebraic approach allows us to extend the class of the ladder representations.
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Palev, T.D. Extended ladder representations. Int J Theor Phys 4, 93–99 (1971). https://doi.org/10.1007/BF00670385
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DOI: https://doi.org/10.1007/BF00670385