Diagonalization of the braid generator on unitary irreps of quantum supergroups
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Publication:1338939
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
unitary irreducible representationsuniversal \(R\)-matrixquantum supergroupsbraid generatortypical representations
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)
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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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