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An analytic nonlinear representation of the poincaré group: II. the case of helicities ±1/2

✍ Scribed by J. Bertrand; G. Rideau

Publisher
Springer
Year
1985
Tongue
English
Weight
184 KB
Volume
10
Category
Article
ISSN
0377-9017

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✦ Synopsis

We construct an analytic truly nonlinear representation of the Poincar~ group having as its linear part the mass zero, helicity -89 (+ 89 unitary representation.

📜 SIMILAR VOLUMES

An analytic nonlinear representation of
An analytic nonlinear representation of the Poincaré group
✍ G. Rideau 📂 Article 📅 1985 🏛 Springer 🌐 English ⚖ 424 KB

We prove in a constructive way the existence of an analytic nonlinear representation of the Poincar~ group in a Banach space, the linear part of which is the massless representation with helicity + 1 (or -1). Furthermore, this nonlinear representation is shown to be analytically unequivalent to any

Nontrivial extensions of a massless repr
Nontrivial extensions of a massless representation with definite helicity of the Poincaré group in 3+1 dimensions by the tensor product of two other massless representations with definite helicity
✍ G. Rideau 📂 Article 📅 1988 🏛 Springer 🌐 English ⚖ 389 KB

Let Un(a, A) be a massless, helicity n/2, representation of the Poinear6 group in 3 + 1 dimensions. Un(a,A) is realized in an adapted nuclear space ~n. We explicitly determine the various classes of cohomology for the extension of Un(a, A) by Un1(a, A)| Un2(a, A).

Nontrivial extensions of a representatio
Nontrivial extensions of a representation of the Poincaré group with mass and helicity zero by its tensorial product
✍ G. Rideau 📂 Article 📅 1984 🏛 Springer 🌐 English ⚖ 408 KB

Let U(a, A) be a representation of the Poincard group ~ with mass and helicity zero, realized in the space of C ~-functions with compact support on IR 3 , without the origin. Let U(2)(a, A) denote the tensorial product of U(a, A) by itself. We explicitly determine the cocycles of extension of U(a, A