info:eu-repo/semantics/article
A Cacti theoretical interpretation of the axioms of bialgebras and H-module algebras
Fecha
2015-04Registro en:
Farinati, Marco Andrés; Lombardi, Leandro Ezequiel; A Cacti theoretical interpretation of the axioms of bialgebras and H-module algebras; Elsevier Inc; Journal Of Algebra; 427; 4-2015; 295-316
0021-8693
CONICET Digital
CONICET
Autor
Farinati, Marco Andrés
Lombardi, Leandro Ezequiel
Resumen
We establish a dictionary between the Cacti algebra axioms on a Cacti algebra structure with underlying free associative algebra, under suitable good behavior with degrees. Using these ideas, for an associative algebra A and a bialgebra H, we also translate Cacti algebra maps Ω(H) → C•(A) (where Ω(H) stands for the cobar construction on H and C•(A) is the Hochschild cohomology complex) with H-module algebra structures on A, and illustrate with examples of applications.