2019/07/22 by Ricardo Bances, Bances, Ricardo, Christian Valqui +1
Mathematics · #16s35 #16s38 #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT #msc:16s35 #msc:16s38
paper · pdf · doi:10.48550/arxiv.1907.09374
In the fourth version we use a new method for the proof of Proposition 10.8, decomposing the infinite matrix $\tilde{M}$ into three (simpler) matrices. In the fifth version we shrten the article, and give a motivation for the representation in infinite matrices
arxiv created 2021/11/10 · arxiv updated 2021/11/12
We use a representation of a graded twisted tensor product of K[x] with K[y] in L(Kℕ0) in order to obtain a nearly complete classification of these graded twisted tensor products via infinite matrices. There is one particular example and three main cases: quadratic algebras classified by Conner and Goetz, a family called A(n,d,a) with the n+1-extension property for n≥ 2, and a third case, not fully classified, which contains a family B(a,L) parameterized by quasi-balanced sequences.