Diagonalization of the braid generator on unitary irreps of quantum supergroups

DOI10.1007/BF00750665zbMath0809.17009OpenAlexW2057794019MaRDI QIDQ1338939

J. R. Links, Mark D. Gould, Manfred Scheunert

Publication date: 4 April 1995

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

Full work available at URL: https://doi.org/10.1007/bf00750665

zbMATH Keywords

unitary irreducible representationsuniversal \(R\)-matrixquantum supergroupsbraid generatortypical representations

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Related Items (1)

Quantum Yang-Baxter equation and constantR-matrix over Grassmann algebra

Cites Work

• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Finite dimensional representations of the quantum analog of the enveloping algebra of a complex simple Lie algebra
• Generalized chiral Potts models and minimal cyclic representations of \(U_ q (\widehat {\mathfrak gl}(n,C))\)
• Universal \(R\)-matrix for quantized (super)algebras
• Serre-type relations for special linear Lie superalgebras
• Quantum groups and diagonalization of the braid generator
• Two variable link polynomials from quantum supergroups
• QUANTUM SUPERGROUPS AND SOLUTIONS OF THE YANG-BAXTER EQUATION
• Graded Lie algebras: Generalization of Hermitian representations
• QUANTUM SUPERGROUPS, LINK POLYNOMIALS AND REPRESENTATION OF THE BRAID GENERATOR
• Multiparameter link invariants from quantum supergroups

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