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math.RA2026
Cocommutative Hopf Dialgebras and Rack Combinatorics
José Gregorio Rodríguez-Nieto, Olga Patricia Salazar-Díaz, Andrés Sarrazola-Alzate +1
We study cocommutative Hopf dialgebras through generalized digroups and rack combinatorics. We prove that the rack functor obtained from the adjoint rack bialgebra factorizes throu…
math.RT2026
Cohomological Maschke's Theorem for Generalized Digroups
José Gregorio Rodríguez-Nieto, Olga Patricia Salazar-Díaz, Andrés Sarrazola-Alzate +1
We study Maschke-type phenomena in the representation theory of generalized digroups. For a generalized digroup , we construct an associative enveloping algebra and prove…