This article is cited 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.

UDC: 513.8

Received: 15.12.1975

 English version: Mathematical Notes, 1978, 23:1, 19–23

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