Unitary representations of the two-dimensional Euclidean group in the Heisenberg algebra

Abstract

E(2) is studied as the automorphism group of the Heisenberg algebra H. The basis in the Hilbert space K of functions on H on which the unitary irreducible representations of the group are realized is explicitly constructed. The addition theorem for the Kummer functions is derived.Febriary 2000

Quivers and the Euclidean group

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Representations ofSU(1,1) in non-commutative space generated by the Heisenberg algebra

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