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

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TitreA Remark on BMW Algebra, q-Schur Algebras and Categorification
Type de publicationJournal Article
Year of Publication2014
AuteursVaz P, Wagner E
JournalCANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES
Volume66
Pagination453-480
Date PublishedAPR
Type of ArticleArticle
ISSN0008-414X
Mots-clésBMW algebra, categorification, HOMELY-PT Skein algebra, q-Schur algebra, tangle algebras
Résumé

We prove that the two-variable BMW algebra embeds into an algebra constructed from the HOMELY-PT polynomial. We also prove that the 50(2N)-BMW algebra embeds in the q-Schur algebra of type A. We use these results to suggest a schema providing categorifications of the 50(2N)-BMW algebra.

DOI10.4153/CJM-2013-018-1