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- W2951907206 abstract "We construct representations of the braid groups B_n on n strands on free Z[q,q^-1,s,s^-1]-modules W_{n,l} using generic Verma modules for an integral version of quantum sl_2. We prove that the W_{n,2} are isomorphic to the faithful Lawrence Krammer Bigelow representations of B_n after appropriate identification of parameters of Laurent polynomial rings by constructing explicit integral bases and isomorphism. We also prove that the B_n-representations W_{n,l} are irreducible over the fractional field Q (q,s)." @default.
- W2951907206 created "2019-06-27" @default.
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- W2951907206 date "2009-12-10" @default.
- W2951907206 modified "2023-09-27" @default.
- W2951907206 title "The Lawrence-Krammer-Bigelow Representations of the Braid Groups via Quantum SL_2" @default.
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