Drinfeld double of $GL_n$ and generalized cluster structures
  We construct a generalized cluster structure compatible with the Poisson bracket on the Drinfeld double of the standard Poisson-Lie group $GL_n$ and derive from it a generalized cluster structure on $GL_n$ compatible with the push-forward of the Poisson bracket on the dual Poisson--Lie group. 
Misha Gekhtman, Michael Shapiro, and Alek Vainshtein
math.QA