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Entanglement Theory Quantum Correlations Open Quantum Systems Decoherence Quantum Simulation Quantum State Preparation Representation

Representations of Quantum Affine Algebras in their R-Matrix Realization

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Authors: North Carolina State University, USA, Naihuan Jing, Ming Liu, South China University of Technology, China, Alexander Molev, University of Sydney, Australia

Year

2020

Paper ID

5383

Status

Peer-reviewed

Abstract Read

~2 min

Abstract Words

69

Citations

N/A

Abstract

We use the isomorphisms between the R-matrix and Drinfeld presentations of the quantum affine algebras in types B, C and D produced in our previous work to describe finite-dimensional irreducible representations in the R-matrix realization.We also review the isomorphisms for the Yangians of these types and use Gauss decomposition to establish an equivalence of the descriptions of the representations in the R-matrix and Drinfeld presentations of the Yangians.

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  • We use the isomorphisms between the R-matrix and Drinfeld presentations of the quantum affine algebras in types B, C and D produced in our previous work to describe...

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References & Citation Signals

[1] DOI https://doi.org/10.3842/sigma.2020.145 [2] Publisher https://doi.org/10.3842/sigma.2020.145

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