Articles written in Proceedings – Mathematical Sciences
Volume 113 Issue 2 May 2003 pp 153-163
Volume 122 Issue 1 February 2012 pp 67-73
The centralizer algebra of a matrix consists of those matrices that commute with it. We investigate the basic representation-theoretic invariants of centralizer algebras, namely their radicals, projective indecomposable modules, injective indecomposable modules, simple modules and Cartan matrices. With the help of our Cartan matrix calculations we determine their global dimensions. Many of these algebras are of infinite global dimension.
Volume 132, 2022
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