Geodesic
A Remark on BMW Algebra, q-Schur Algebras and Categorification
Canadian journal of mathematics, Tome 66 (2014) no. 2, pp. 453-480

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DOI

We prove that the two-variable $\text{BMW}$ algebra embeds into an algebra constructed from the $\text{HOMFLY-PT}$ polynomial. We also prove that the $\mathfrak{s}{{\mathfrak{O}}_{2N}}-\text{BMW}$ algebra embeds in the $q$ -Schur algebra of type $A$ . We use these results to suggest a schema providing categorifications of the $\mathfrak{s}{{\mathfrak{D}}_{2N}}-\text{BMW}$ algebra.
DOI : 10.4153/CJM-2013-018-1
Mots-clés : 57M27, 81R50, 17B37, 16W99, tangle algebras, BMW algebra, HOMFLY-PT Skein algebra, q-Schur algebra, categorification 
Vaz, Pedro; Wagner, Emmanuel. A Remark on BMW Algebra, q-Schur Algebras and Categorification. Canadian journal of mathematics, Tome 66 (2014) no. 2, pp. 453-480. doi: 10.4153/CJM-2013-018-1
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     title = {A {Remark} on {BMW} {Algebra,} {q-Schur} {Algebras} and {Categorification}},
     journal = {Canadian journal of mathematics},
     pages = {453--480},
     year = {2014},
     volume = {66},
     number = {2},
     doi = {10.4153/CJM-2013-018-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2013-018-1/}
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