On the symplectic structure of irreducible representation modules of the metacyclic group \(G=\langle a,b:a^ n=1,\;b^ 2=a^ t,\;bab^{-1}=a^ r\rangle\)
Let \(G=\langle a,b:a^n=1\), \(b^2=a^t\), \(bab^{-1}=a^r\rangle\) be a metacyclic group with \((r,n)=1\), \(n\mid t(r-1)\) and \(r^2\equiv 1\pod n\), \(\mathbb{C}\) the field of complex numbers and \(*\) an involution of the group algebra \(\mathbb{C} G\). The authors determine up to isometric isomorphy all nondegenerate skewsymmetric and \(*\)-invariant bilinear forms of irreducible \(\mathbb{C} G\)-modules.
scientific article; zbMATH DE number 821692