DUBEY, UMESH V ; PRASAD, AMRITANSHU ; SINGLA, POOJA (2012) The Cartan matrix of a centralizer algebra Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 122 (1). pp. 67-73. ISSN 0253-4142
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Official URL: http://doi.org/10.1007/s12044-012-0059-6
Related URL: http://dx.doi.org/10.1007/s12044-012-0059-6
Abstract
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.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Indian Academy of Sciences. |
| ID Code: | 121506 |
| Deposited On: | 17 Jul 2021 12:02 |
| Last Modified: | 17 Jul 2021 12:02 |
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