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Low-dimensional unitary representations of |
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| Authors: | Imre Tuba |
| Institution: | Department of Mathematics, Mail Code 0112, University of California, San Diego, 9500 Gilman Dr., La Jolla, California 92093-0112 |
| Abstract: | We characterize all simple unitarizable representations of the braid group |
| Keywords: | |
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on complex vector spaces of dimension 
. In particular, we prove that if 
and 
denote the two generating twists of 
, then a simple representation 
(for 
) is unitarizable if and only if the eigenvalues 
of 
are distinct, satisfy 
and 
for 
, where the 
are functions of the eigenvalues, explicitly described in this paper.