Singular parameters for the Birman-Murakami-Wenzl algebra

2011/02/05 by Hebing Rui, Rui, Hebing, Mei Si +1
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA

paper · pdf · doi:10.48550/arxiv.1102.1055

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arxiv created 2011/02/05 · openalex publication_date 2011/02/05 · arxiv updated 2011/02/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we classify the singular parameters for the Birman-Murakami-Wenzl algebra over an arbitrary field. Equivalently, we give a criterion for the Birman-Murakami-Wenzl algebra being Morita equivalent to the direct sum of the Hecke algebras associated to certain symmetric groups.

Related

• The Birman-Murakami-Wenzl Algebra of Coxeter Type D
• Gram determinants and semisimplity criteria for Birman-Wenzl algebras
• Symmetrizers and antisymmetrizers for the BMW algebra
• Morita equivalences on Brauer algebras and BMW algebras of simply-laced types
• Decomposition matrices of Birman-Murakami-Wenzl algebras