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A Faithful Representation of the Singular Braid Monoid on Three Strands

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arxiv math/9806050 v1 pith:P56R3BMD submitted 1998-06-09 math.GT

Oliver T. Dasbach , Bernd Gemein This is my paper · ORCID
classification math.GT
keywords monoidbraidfaithfulrepresentationsingularstrandsthreecertain
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We show that a certain linear representation of the singular braid monoid on three strands is faithful. Furthermore we will give a second - group theoretically motivated - solution to the word problem in this monoid.

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  1. Classification of Homogeneous Local Representations of the Singular Braid Monoid

    math.RT 2025-01 reject novelty 6.0 of 10

    The authors enumerate all non-trivial homogeneous 3-local representations of B_n for n≥4 and their 2- and 3-local extensions to the singular braid monoid SM_n.

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