The Cartan Matrix of a Centralizer Algebra
Umesh V Dubey Amritanshu Prasad Pooja Singla
Click here to view fulltext PDF
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.
Umesh V Dubey1 Amritanshu Prasad1 Pooja Singla2
Volume 133, 2023
Continuous Article Publishing mode
Click here for Editorial Note on CAP Mode