FINITE LINEAR QUOTIENTS OF ${\mathcal{B}}_3$ OF LOW DIMENSION
2010 ◽
Vol 19
(05)
◽
pp. 587-600
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Keyword(s):
We study the problem of deciding whether or not the image of an irreducible representation of the braid group [Formula: see text] of degree ≤ 5 has finite image if we are only given the eigenvalues of a generator. We provide a partial algorithm that determines when the images are finite or infinite in all but finitely many cases, and use these results to study examples coming from quantum groups. Our technique uses two classification theorems and the computational group theory package GAP.
2020 ◽
Vol 2020
(769)
◽
pp. 87-119
Keyword(s):
2018 ◽
Vol 27
(06)
◽
pp. 1850043
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Keyword(s):
1996 ◽
Vol 11
(11)
◽
pp. 899-913
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Keyword(s):
2016 ◽
Vol 15
(10)
◽
pp. 1650179
◽
Keyword(s):
2010 ◽
Vol 10
(4)
◽
pp. 835-855
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