Geodesic
Elementary representations of the Laguerre group
Matematičeskie zametki, Tome 23 (1978) no. 1, pp. 31-40

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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. 
@article{MZM_1978_23_1_a2,
     author = {V. F. Molchanov},
     title = {Elementary representations of the {Laguerre} group},
     journal = {Matemati\v{c}eskie zametki},
     pages = {31--40},
     publisher = {mathdoc},
     volume = {23},
     number = {1},
     year = {1978},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1978_23_1_a2/}
}
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V. F. Molchanov. Elementary representations of the Laguerre group. Matematičeskie zametki, Tome 23 (1978) no. 1, pp. 31-40. http://geodesic.mathdoc.fr/item/MZM_1978_23_1_a2/