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Nonlinear representations of the group: (R+×SO(n)) ∧Rn

✍ Scribed by Abdelwaheb Charfi


Publisher
Springer
Year
1991
Tongue
English
Weight
350 KB
Volume
23
Category
Article
ISSN
0377-9017

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✦ Synopsis


Nonlinear representations of the group G = (R + x SO(n)) ^ R", such that the free part is an infinite-dimensional unitary irreducible representation of G, are proved to be formally linearizable on the space of infinitely differentiable functions with compact support.


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Dimension n Representations of the Braid
✍ Inna Sysoeva 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 135 KB

In 1996, E. Formanek classified all the irreducible complex representations of B n of dimension at most n y 1, where B is the Artin braid group on n strings. In this n paper we extend this classification to the representations of dimension n, for n G 9. We prove that all such representations are equ