Communications of the
Korean Mathematical Society CKMS

In this paper, we study the right regular representation $R_{\Gamma}$ of a finite group $G$ on the vector space consisting of vector valued functions on $\Gamma\backslash G$ with a subgroup $\Gamma$ of $G$ and give a trace formula using the work of M. -F. Vign{\' e}ras.

Keywords: finite groups, the regular representation, trace formulas

MSC numbers: Primary 20C05, 20C15