Krammer's Representation of the Pure Braid Group,
2010 ◽
Vol 2010
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pp. 1-10
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Keyword(s):
We consider Krammer's representation of the pure braid group on three strings: , where and are indeterminates. As it was done in the case of the braid group, , we specialize the indeterminates and to nonzero complex numbers. Then we present our main theorem that gives us a necessary and sufficient condition that guarantees the irreducibility of the complex specialization of Krammer's representation of the pure braid group, .
2018 ◽
Vol 11
(3)
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pp. 682-701
1999 ◽
Vol 19
(5)
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pp. 1221-1231
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2017 ◽
Vol E100.A
(12)
◽
pp. 2764-2775
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