THE BRAUER CHARACTERS AND THE CARTAN MATRIX FOR SL (2 , p) | ||||
The International Conference on Applied Mechanics and Mechanical Engineering | ||||
Article 62, Volume 2, 2nd Conference on Applied Mechanical Engineering., May 1986, Page 149-158 PDF (1.03 MB) | ||||
Document Type: Original Article | ||||
DOI: 10.21608/amme.1986.58981 | ||||
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Author | ||||
SAMY EL BADAWY YEHIA | ||||
Military Technical College, Cairo,Egypt. | ||||
Abstract | ||||
One way to study the representation theory of a group is to get hold of the simple modules. Finding the multiplicities of these simple modules as composition factors of the principal indecomposable modules (PIM) is a step in this way. These multiplicities are the entries of the Cartan matrix. In this paper, we use the " Orthogonality Relation " (theorem 60.5 ,[12]) of the Brauer characters to get the inverse of the Cartan matrix for the finite Chevalley group of type A1(SL (2,p)) . | ||||
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