Low-Dimensional Representations of Special Unitary Groups
نویسندگان
چکیده
منابع مشابه
Low - 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 Algebra
سال: 2001
ISSN: 0021-8693
DOI: 10.1006/jabr.2000.8513