Low-dimensional free and linear representations of Out(F3)
نویسندگان
چکیده
منابع مشابه
compactifications and representations of transformation semigroups
this thesis deals essentially (but not from all aspects) with the extension of the notion of semigroup compactification and the construction of a general theory of semitopological nonaffine (affine) transformation semigroup compactifications. it determines those compactification which are universal with respect to some algebric or topological properties. as an application of the theory, it is i...
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چکیده ندارد.
15 صفحه اولLow - Dimensional Unitary Representations Of
We characterize all simple unitarizable representations of the braid group B 3 on complex vector spaces of dimension d ≤ 5. In particular, we prove that if σ 1 and σ 2 denote the two generating twists of B 3 , then a simple representation ρ : B 3 → GL(V) (for dim V ≤ 5) is unitarizable if and only if the eigenvalues λ 1 , λ 2 ,. .. , λ d of ρ(σ 1) are distinct, satisfy |λ i | = 1 and µ (d) 1i >...
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ژورنال
عنوان ژورنال: Journal of Group Theory
سال: 2015
ISSN: 1433-5883,1435-4446
DOI: 10.1515/jgth-2015-0026