On the Poincaré series of representations of finite reflection groups
✍ Scribed by V. F. Molchanov
- Publisher
- Springer US
- Year
- 1992
- Tongue
- English
- Weight
- 240 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0016-2663
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📜 SIMILAR VOLUMES
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
describing quasistable states. In the relativistic domain this leads to Poincare semigroup representations which are í 2 characterized by spin j and by complex invariant mass square s s s s M y G . Relativistic Gamow kets have all the Ž . R R R 2 properties required to describe relativistic resonanc