A basis for the Birman-Wenzl algebra

Publication date: 14 December 2010

Abstract: An explicit isomorphism is constructed between the Birman-Wenzl algebra, defined algebraically by J. Birman and H. Wenzl using generators and relations, and the Kauffman algebra, constructed geometrically by H. R. Morton and P. Traczyk in terms of tangles. The isomorphism is obtained by constructing an explicit basis in the Birman-Wenzl algebra, analogous to a basis previously constructed for the Kauffman algebra using 'Brauer connectors'. The geometric isotopy arguments for the Kauffman algebra are systematically replaced by algebraic versions using the Birman-Wenzl relations.

Mathematics Subject Classification ID

This page was built for publication: A basis for the Birman-Wenzl algebra

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6222397)