Affine cellularity of affine Birman-Murakami-Wenzl algebras
Weideng Cui
TL;DR
This paper proves that affine BMW algebras possess the structure of affine cellular algebras, providing a new perspective on their algebraic properties and potential applications.
Contribution
It establishes the affine cellularity of affine BMW algebras, a property not previously known for these structures.
Findings
Affine BMW algebras are affine cellular.
The result offers new tools for studying their representations.
Potential implications for related algebraic and topological theories.
Abstract
We show that the affine BMW algebras are affine cellular algebras.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Operator Algebra Research · Advanced Topics in Algebra