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Super solutions of the dynamical Yang-Baxter equation |
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| Authors: | Gizem Karaali |
| Affiliation: | Department of Mathematics, University of California, Santa Barbara, California 93106 |
| Abstract: | Solutions of the classical dynamical Yang-Baxter equation on a Lie superalgebra are called super dynamical  matrices. A super dynamical  matrix  satisfies the zero weight condition if ![$displaystyle [hotimes 1 + 1 otimes h, r(lambda)] = 0$](http://www.ams.org/proc/2006-134-09/S0002-9939-06-08495-4/gif-abstract0/img4.gif){kind=small} for all   matrices with zero weight. |
| Keywords: | Dynamical $r-$matrices the dynamical Yang-Baxter equation Lie superalgebras |
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