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A Remark on BMW algebra, q-Schur Algebras and Categorification

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Dos Santos Santana Forte Vaz, Pedro [UCL]

We prove that the 2-variable BMW algebra embeds into an algebra constructed from the HOMFLY-PT polynomial. We also prove that the so(2n)-BMW algebra embeds in the q-Schur algebra of type A. We use these results to suggest a schema providing categorifications of the so(2n)-BMW algebra.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès libre
Publication date 2013
Language Anglais
Journal information "Canadian Journal of Mathematics" -
Peer reviewed yes
Publisher University of Toronto Press * Journals Division ((Canada) Toronto)
issn 0008-414X
e-issn 1496-4279
Publication status Accepté/Sous presse
Affiliation UCL - SST/IRMP - Institut de recherche en mathématique et physique
Keywords tangle algebras ; BMW algebra ; HOMFLY-PT Skein algebra ; q-Schur algebra ; categorification
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Bibliographic reference Dos Santos Santana Forte Vaz, Pedro ; et. al. A Remark on BMW algebra, q-Schur Algebras and Categorification. In: Canadian Journal of Mathematics,
Permanent URL http://hdl.handle.net/2078.1/128990