Irreducible representations of braid groups

DOI10.1063/1.529586zbMath0774.20012OpenAlexW1996113124MaRDI QIDQ4032254

Chengjiu Zhu, Zhong-Qi Ma, Dian-Min Tong

Publication date: 1 April 1993

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529586

zbMATH Keywords

commuting operatorsirreducible representationspermutation groupbraid groupstandard Young tableauquantum enveloping algebraorthogonal representationsmonodromy representations

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Applications of group representations to physics and other areas of science (20C35)

Related Items (3)

Noncommutative geometry for arbitrary braidings ⋮ Combinatorial approach to the representation of the Schur-Weyl duality in one-dimensional spin systems ⋮ On application of the Jucys-Murphy operators in the Hubbard model of solids

Cites Work

• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Representations of Coxeter groups and Hecke algebras
• Partition function of the eight-vertex lattice model
• A new approach to permutation group representations. II
• A polynomial invariant for knots via von Neumann algebras

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