Polyhedral realizations of crystal bases \(B(\lambda)\) for \(D^{(1)}_n\). (English) Zbl 1404.17024
Summary: We give the explicit forms of the crystal bases \(B(\lambda)(\lambda\in P_+)\) for the integrable highest weight modules of the quantum affine algebras for \(D^{(1)}_n\).
MSC:
| 17B37 | Quantum groups (quantized enveloping algebras) and related deformations |
| 17B67 | Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras |
References:
| [1] | DOI: 10.1215/S0012-7094-93-07131-1 · Zbl 0794.17008 · doi:10.1215/S0012-7094-93-07131-1 |
| [2] | DOI: 10.1006/aima.1997.1670 · Zbl 0897.17014 · doi:10.1006/aima.1997.1670 |
| [3] | DOI: 10.1006/jabr.1999.7920 · Zbl 0967.17011 · doi:10.1006/jabr.1999.7920 |
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