On Super Yangian Covariance of the Triple Product System

  • Shao-Kui Yao
  • Peng Liu
  • Xiao-Yu JiaEmail author


We investigate the relation between a triple product system and the super Yangian \(Y(\mathfrak {gl}(2|1))\). We present the super Yangian covariance structure for a triple product system associated with a rational R-matrix. Moreover, we obtain the ternary Hopf algebraic structure of the super Yangian \(Y(\mathfrak {gl}(2|1))\).


Super Yangian representation Super Yangian covariance Ternary Hopf algebra 

Mathematics Subject Classification

17B80 16T05 16T25 



We would like to express our sincere thanks to the referee for his/her helpful comments and suggestions. We are also grateful to Professor W. Z. Zhao in Capital Normal University for his valuable discussion. This work is supported by the National Natural Science Foundation of China (Grant no. 11375119).


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Authors and Affiliations

  1. 1.School of Mathematical SciencesCapital Normal UniversityBeijingChina
  2. 2.National Center for Mathematics and Interdisciplinary Sciences, Academy of Mathematics and Systems ScienceChinese Academy of SciencesBeijingChina
  3. 3.Beijing institute of educationBeijingChina

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