Injectivity of the Atiyah–Patodi–Singer invariant for two-dimensional representations
Let D2k+1(2r+1)D_{2^{k+1}(2r+1)}D2k+1(2r+1) be the indicated finite group, and let ϱt,s\varrho_{t,s}ϱt,s denote its two-dimensional irreducible representations, with 1≤t≤2r1\leq t\leq 2r1≤t≤2r and…