Explicit idempotents of finite group algebras
  Let $\mathbb F_q$ be a finite field with $q$ elements, $G$ a finite cyclic group of order $p^k$ and $p$ is an odd prime with ${\rm gcd}(q,p)=1$. In this article, we determine an explicit expression for the primitive idempotents of $\mathbb F_qG$.   This result extends the result in Arora-Pruthi [1] and Sharma-Bakshi-Dumir-Raka [8]. 
F. E. Brochero Mart\'inez, C. R. Giraldo Vergara
math.RA