TY - THES AB - We introduce new methods from representation theory of algebraic groups into the study of representation zeta functions associated with compact $\mathfrak{p}$-adic analytic groups and arithmetic groups. We apply these new methods to compute the representation zeta functions of principal congruence subgroups of the groups $\mathrm{SL}_4(\mathfrak{o})$, where $\mathfrak{o}$ is a compact discrete valuation ring of characteristic 0. DA - 2016 LA - eng PY - 2016 TI - Representation zeta functions of special linear groups UR - https://nbn-resolving.org/urn:nbn:de:hbz:361-29027223 Y2 - 2024-11-22T18:19:11 ER -