Three-dimensional representations of braid groups associated with some finite complex reflection groups
2017 ◽
Vol 28
(14)
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pp. 1750109
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Keyword(s):
We study the rigidity of three-dimensional representations of braid groups associated with finite primitive irreducible complex reflection groups in [Formula: see text]. In many cases, we show the rigidity. For rigid representations, we give explicit forms of the representations, which turns out to be the monodromy representations of uniformization equations of Saito–Kato–Sekiguchi [Uniformization systems of equations with singularities along the discriminant sets of complex reflection groups of rank three, Kyushu J. Math. 68 (2014) 181–221; On the uniformization of complements of discriminant loci, RIMS Kokyuroku 287 (1977) 117–137]. Invariant Hermitian forms are also studied.
1976 ◽
Vol 9
(3)
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pp. 379-436
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2014 ◽
Vol 68
(1)
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pp. 181-221
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Keyword(s):
2011 ◽
Vol 334
(1)
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pp. 295-320
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1978 ◽
Vol 11
(4)
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pp. 613-613
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1998 ◽
Vol 1998
(500)
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pp. 127-190
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Keyword(s):
2011 ◽
Vol DMTCS Proceedings vol. AO,...
(Proceedings)
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