Representations of generalized digroups are equivalent to modules over an enveloping algebra, with Maschke-type splitting on the ρ-side controlled by cohomology and a spectral sequence under a group-component condition.
J.; Stammbach, U.A Course in Homological Algebra, 2nd ed.; Graduate Texts in Mathematics, Vol
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Cohomological Maschke's Theorem for Generalized Digroups
Representations of generalized digroups are equivalent to modules over an enveloping algebra, with Maschke-type splitting on the ρ-side controlled by cohomology and a spectral sequence under a group-component condition.