The center conjecture for non-semisimple BMW algebras
The center conjecture for non-semisimple BMW algebras
Let be the Birman–Murakami–Wenzl algebra over , and let denote the commutative central subalgebra generated by the elements . Assume that is generic, , and is non-semisimple.
Center conjecture. The center of is
This would identify the explicitly constructed commutative subalgebra with the full center in the non-semisimple setting, extending the role of the Jucys–Murphy-type elements in separating blocks. The source does not state a resolution of the conjecture.
Sources & referencesView supporting material
Primary source
Christoforos Milionis, “The center of the BMW algebras and an Okounkov-Vershik like approach”, arXiv:2512.17458 (2026).
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