Web20.I. Assem, R. Schi er and K. Serhiyenko, Modules over cluster-tilted algebras that do not lie on local slices, Archiv Math. 110, (2024) 9{18. ... C˘anak˘c and R. Schi er, Snake graph calculus and cluster algebras from surfaces III: Band graphs and snake rings,_ Int. Math. Res. Not. rnx157 (2024) 1-82. WebIn 2010, Hernandez and Leclerc studied connections between representations of quantum affine algebras and cluster algebras. In 2024, Brito and Chari defined a family of …
Hernandez-Leclerc modules and snake graphs - NASA/ADS
Web3 Snake graphs and expansion formulas 23 ... Cluster algebras were introduced by Fomin and Zelevinsky [FZ1] in 2002. Their original motivation was coming from canonical bases in Lie Theory. Today cluster algebras are connected to various elds of mathematics, in-cluding Combinatorics (polyhedra, frieze patterns, green sequences, snake graphs, WebAug 14, 2015 · Cluster algebras and snake modules @article{Duan2015ClusterAA, title={Cluster algebras and snake modules}, author={Bing Duan and Jian-Rong Li and Yanfeng Luo}, journal={Journal of Algebra}, year={2015} } B. Duan, Jian-Rong Li, Yanfeng Luo; Published 14 August 2015; Mathematics; Journal of Algebra cfc filing
[1508.03467v3] Cluster algebras and snake modules
WebMay 1, 2024 · This paper establishes a connection between binary subwords and perfect matchings of a snake graph, an important tool in the theory of cluster algebras. Every binary expansion w can be associated to a piecewise-linear poset P and a snake graph G. We construct a tree structure called the antichain trie which is isomorphic to the trie of … WebSep 20, 2024 · Abstract. In 2010, Hernandez and Leclerc studied connections between representations of quantum affine algebras and cluster algebras. In 2024, Brito and … WebJul 5, 2024 · Recently, Duan and Schiffler in [16] proved the geometric q-character formula for snake modules of types A n and B n , and characterized the general kernel … cfc filters