No CrossRef data available.
Article contents
A Remark on BMW Algebra, q-Schur Algebras and Categorification
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
Keywords
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 2014
References
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20190729072423786-0467:S0008414X00013766:S0008414X00013766_inline02.gif?pub-status=live)
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20190729072423786-0467:S0008414X00013766:S0008414X00013766_inline03.gif?pub-status=live)