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arxiv: 0809.4173 · v4 · pith:RKCBOYONnew · submitted 2008-09-24 · 🧮 math.RT

Some irreducible representations of the braid group B_n of dimension greater than n

classification 🧮 math.RT
keywords braiddimensiongivegroupirreduciblerepresentationrepresentationscase
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For any n>3, we give a family of finite dimensional irreducible representations of the braid group B_n. Moreover, we give a subfamily parametrized by 0<m<n of dimension the combinatoric number (n,m). The representation obtained in the case m=1 is equivalent to the Standard representation.

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