Contents Online
Mathematical Research Letters
Volume 22 (2015)
Number 4
Affine cellularity of $S_{\Delta}(2, 2)$
Pages: 1255 – 1274
DOI: https://dx.doi.org/10.4310/MRL.2015.v22.n4.a15
Author
Abstract
In this paper we prove that the affine Schur algebra $S_{\Delta}(2, 2)$ is affine cellular over $\mathbb{Q}$. As an application, we prove that the global dimension of $S_{\Delta}(2, 2)$ is finite over $\mathbb{Q}$.
Keywords
affine cellular algebras, affine Schur algebra $S_{\Delta}(2, 2)$
2010 Mathematics Subject Classification
17B37, 20G43
Accepted 17 September 2014
Published 24 July 2015