Primitive Idempotents: A Crucial Role in the Representation Theory of Finite Groups and Finite-Dimensional Algebras

Pages:157-158
Sureshkumar Govindbhai Sorathia (Department of Mathematics, Pacific University, Rajasthan)

In this paper we present explicit formulas for primitive idempotent in arbitrary Frobenius algebras using the entries of representing matrices coming from projective indecomposable modules with respect to a certain choice of basis. The proofs use a generalization of the well known Frobenius-Schur relations for semisimple algebras.