Comparison of Admissibility Conditions for Cyclotomic Birman--Wenzl--Murakami Algebras
Frederick M. Goodman
TL;DR
This paper demonstrates that two different sets of admissibility conditions for cyclotomic BMW algebras are equivalent, clarifying the theoretical foundations of these algebraic structures.
Contribution
It establishes the equivalence of admissibility conditions proposed by Wilcox and Yu and by Rui and Xu for cyclotomic BMW algebras.
Findings
Proves the equivalence of two admissibility conditions
Clarifies the theoretical framework of cyclotomic BMW algebras
Supports consistent parameter selection in algebraic research
Abstract
We show the equivalence of admissibility conditions proposed by Wilcox and Yu and by Rui and Xu for the parameters of cyclotomic BMW algebras.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Operator Algebra Research