Dynamical twists in group algebras (Q2747849)

The authors classify dynamical twists in group algebras of finite groups over an algebraically closed field \(k\) of characteristic zero. Let \(A\) be an abelian subgroup of a finite group \(G\). A dynamical datum for \((G, A)\) is a subgroup \(K\) of \(G\) together with a family of irreducible projective representations of \(K\) satisfying a certain coherence condition. Their main result is that there is a bijection between NEWLINENEWLINENEWLINE(i) gauge equivalence classes of dynamical twists \(J:A^*\rightarrow k[G]\otimes k[G]\) and NEWLINENEWLINENEWLINE(ii) isomorphism classes of dynamical data for \((G, A)\).