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This article is cited in 2 scientific papers (total in 2 papers)
Elementary representations of the Laguerre group
V. F. Molchanov Tambov State Pedagogic Institute
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.
Received: 15.12.1975
Citation:
V. F. Molchanov, “Elementary representations of the Laguerre group”, Mat. Zametki, 23:1 (1978), 31–40; Math. Notes, 23:1 (1978), 19–23
Linking options:
https://www.mathnet.ru/eng/mzm8115 https://www.mathnet.ru/eng/mzm/v23/i1/p31
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