id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
w6634171p0d	Danny Orton	Cluster Structures on the Affine Space of Rectangular Matrices	2019		.txt	text/plain	186	5	39	Combinatorial conditions are given for when there exists a sequence of cluster mutations relating such cluster structures on the space of matrices of size n by m and the space of matrices of size (n-1) by m. This aforementioned sequence of mutations is an important ingredient in showing that the corresponding upper cluster algebra is isomorphic to the ring of regular functions on the space of matrices of size n by m. It has been conjectured that there exists a classification of regular cluster structures on simple complex Lie groups that is parallel to the Belavin-Drinfeld classification of Poisson-Lie Brackets.	cache/w6634171p0d.txt	txt/w6634171p0d.txt