THE BRAUER CHARACTERS AND THE CARTAN MATRIX FOR SL (2 , p)
YEHIA, S. (1986). THE BRAUER CHARACTERS AND THE CARTAN MATRIX FOR SL (2 , p). EKB Journal Management System, 2(2nd Conference on Applied Mechanical Engineering.), 149-158. doi: 10.21608/amme.1986.58981
SAMY EL BADAWY YEHIA. "THE BRAUER CHARACTERS AND THE CARTAN MATRIX FOR SL (2 , p)". EKB Journal Management System, 2, 2nd Conference on Applied Mechanical Engineering., 1986, 149-158. doi: 10.21608/amme.1986.58981
YEHIA, S. (1986). 'THE BRAUER CHARACTERS AND THE CARTAN MATRIX FOR SL (2 , p)', EKB Journal Management System, 2(2nd Conference on Applied Mechanical Engineering.), pp. 149-158. doi: 10.21608/amme.1986.58981
YEHIA, S. THE BRAUER CHARACTERS AND THE CARTAN MATRIX FOR SL (2 , p). EKB Journal Management System, 1986; 2(2nd Conference on Applied Mechanical Engineering.): 149-158. doi: 10.21608/amme.1986.58981

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, Pages 149-158    PDF (1.03 M)
Document Type: Original Article
DOI: 10.21608/amme.1986.58981
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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