✦ LIBER ✦

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

✍ Scribed by G. Rideau

Publisher: Springer
Year: 1988
Tongue: English
Weight: 389 KB
Volume: 15
Category: Article
ISSN: 0377-9017
DOI: 10.1007/bf00398594

No coin nor oath required. For personal study only.

✦ Synopsis

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).

📜 SIMILAR VOLUMES

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