Singular Braids and Partial Permutations
نویسنده
چکیده
We introduce and study the partial singular braid monoid PSBn, a monoid that contains both the inverse braid monoid IBn and the singular braid monoid SBn. Our main results include a characterization of Green’s relations, a presentation in terms of generators and relations, and a proof that PSBn embeds in the semigroup algebra C[IBn].
منابع مشابه
On Singular Braids
In Vassiliev theory, there is a natural monoid homo-morphism from n-strand singular braids to the group algebra of n-strand braid group. J. Birman conjectured that this monoid homomorphism is injective. We show that the monoid homomor-phism is injective on braids with up to three singularities and that Birman's conjecture is equivalent to that singular braids are dis-tinguishable by Vassiliev b...
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