Symmetrizer and Antisymmetrizer of the Birman-Wenzl-Murakami Algebras

2000/02/21 by I. Heckenberger, István Heckenberger, Heckenberger, István +2 · 2 citations
Mathematics · #16G10 #20C15 #20F36 #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Mathematics #Geometric and Algebraic Topology #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT #msc:16G10 #msc:20C15 #msc:20F36

paper · pdf · doi:10.48550/arxiv.math/0002170

6 pages. To appear in Lett. Math. Phys

arxiv created 2000/02/21 · openalex publication_date 2000/02/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Explicit formulas for the symmetrizer and the antisymmetrizer of the Birman-Wenzl-Murakami algebras BWM(r,q)_n are given.

Cited by

• The quantum spin Brauer category
• Quantum group covariant (anti)symmetrizers, -tensors, vielbein, Hodge map and Laplacian

Related

• Symmetrizers and antisymmetrizers for the BMW algebra
• Singular parameters for the Birman-Murakami-Wenzl algebra
• The Birman-Murakami-Wenzl Algebra of Coxeter Type D
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• A basis for the Birman-Wenzl algebra