IMAS 23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
artículos
Título:
A Cacti theoretical interpretation of the axioms of bialgebras and H-module algebras
Autor/es:
FARINATI, MARCO ANDRÉS; LOMBARDI, LEANDRO
Revista:
JOURNAL OF ALGEBRA
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Lugar: Amsterdam; Año: 2015 vol. 427 p. 295 - 316
ISSN:
0021-8693
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.
