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.
A Faithful Representation of the Singular Braid Monoid on Three Strands
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abstract
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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Classification of Homogeneous Local Representations of the Singular Braid Monoid
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.