We present a conjecture on the irreducibility of the tensor products of fundamental representations of quantized affine algebras. This conjecture implies i... T Akasaka,M Kashiwara - 《Publications of the Research Institute for Mathematical Sciences》 被引量: 302发表: 1997年 Soliton Cellular Automata...
Fomin, S., Zelevinsky, A.: Cluster algebras. I. Foundations. J. Amer. Math. Soc. 15(2), 497–529 (2002) Article Google Scholar Gunawan, E., Musiker, G., Vogel, H.: Cluster algebraic interpretation of infinite friezes. European J. Combin. 81, 22–57 (2019) Article MathSciNet...
2009). In this paper, we show that the canonical orbit category of the bounded derived category of finite dimensional representations of a quiver without infinite paths of type\({\mathbb {A}}_\infty
Fomin S., Zelevinsky A.: Cluster algebras I: foundations. J. Am. Math. Soc. 15(2), 497–529 (2002) Article MathSciNet Google Scholar Fomin S., Zelevinsky A.: Cluster algebras II: finite type classification. Invent. Math. 154(1), 63–121 (2003) Article MathSciNet Google Scholar...
We interpret certain Seiberg-like dualities of two-dimensional $${\mathcal{N}}$$ = (2,2) quiver gauge theories with unitary groups as cluster mutations in
I. Eisner, Exotic cluster structures on SL5, Journal of Physics A: Mathematical and Theoretical 47, (2014) 474002. Article MathSciNet MATH Google Scholar S. Fomin and A. Zelevinsky, Cluster algebras. I. Foundations, J. Amer. Math. Soc. 15, (2002) 497–529 (electronic). Article Mat...
Abstract We consider, for each exchange matrixB, a category of geometric cluster algebras overBand coefficient specializations between the cluster algebras. The category also depends on an underlying ringR, usually\mathbb {Z},\,\mathbb {Q}, or\mathbb {R}. We broaden the definition of geometric...
cluster algebras i: foundations. j. am. math. soc. 15 (2), 497–529 (2002) article mathscinet math google scholar frenkel, i., ip, i.: positive representations of split real quantum groups and future perspectives. int. math. res. not. 2014 (8), 2126–2164 (2014) article mathsci...
在20世纪初,Fomin和Zelevinsky发明了一类新的代数,称为簇代数。其动机是代数群中的总正性和量子群中的正则基。簇代数自问世以来,已在泊松几何、泰克勒理论、热带几何、代数组合学、颤振表示理论和有限维代数等多种场合得到了广泛的应用。简介 簇代数是构造定义的交换环,其中有一组显着的生成器(簇变量 cluster...