The Cartan matrix of a centralizer algebra |
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| Authors: | UMESH V DUBEY AMRITANSHU PRASAD POOJA SINGLA |
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| Institution: | 1.The Institute of Mathematical Sciences,Chennai,India;2.Department of Mathematics,Ben Gurion University of the Negev,Beer-Sheva,Israel |
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| 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. |
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