id author title date pages extension mime words sentence flesch summary cache txt 08612n52n9b Kathryn Burton Mulholland Generalized Cluster Structures Compatible with the Cremmer-Gervais Poisson Bracket on Rectangular Matrices 2020 .txt text/plain 108 4 37 This dissertation continues the study of cluster structures in the rings of regular functions on the affine space of rectangular matrices that are compatible with Poisson structures. According to the conjecture given by Gekhtman-Shapiro-Vainshtein, each class in the Belavin-Drinfeld classification of Poisson-Lie structures on a semisimple complex group G corresponds to a cluster structure in O(G). cache/08612n52n9b.txt txt/08612n52n9b.txt