Abstract
A class of representations of the Laguerre group in nuclear spaces is studied. The Laguerre group is the group of matrices of order two with determinant 1 over the ring of dual numbers. The question of irreducibility is considered, and a classification of bilinear invariant functionals, intertwining operators, and Hermitian invariant functionals is obtained.
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Translated from Matematicheskie Zametki, Vol. 23, No. 1, pp. 31–39, January, 1978.
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Molchanov, V.F. Elementary representations of the laguerre group. Mathematical Notes of the Academy of Sciences of the USSR 23, 19–23 (1978). https://doi.org/10.1007/BF01104879
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DOI: https://doi.org/10.1007/BF01104879