Adjoint Orbits of Matrix Groups over Finite Quotients of Compact Discrete Valuation Rings and Representation Zeta Functions

Michele Zordan

This paper gives methods to describe the adjoint orbits of $\mathbf{G}({\mathfrak{o}}_r)$ on $\mathrm{Lie}(\mathbf{G})({\mathfrak{o}}_r)$ where $\mathfrak{o}_r=\mathfrak{o}/\mathfrak{p…