Exotic Cluster Structures on Sl N: The Cremmer-Gervais Case (Memoirs of the American Mathematical Society; Volume 246, Number 1165) by M. Gekhtman, M. Shapiro, and A Vainshtein - 2016

American Mathematical Society, 2016. Paperback. New Book. Paperback. This is the second in a series of papers on the study of natural cluster structures in the rings of regular functions on simple complex Lie groups and Poisson-Lie structures compatible with these cluster structures. It shows how each class in the Belavin-Drinfeld classification of Poisson-Lie structures on corresponds to a cluster structure in (), noting that this argument holds for any in the case of the standard Poisson-Lie structure and for all Belavin-Drinfeld classes in />, establishing the argument here for the Cremmer-Gervais Poisson-Lie structure on />. (2016 Ringgold, Inc., Portland, OR)