A Cacti theoretical interpretation of the axioms of bialgebras and H-module algebras
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...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2015 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/18863 |
| Acceso en línea: | http://hdl.handle.net/11336/18863 |
| Access Level: | acceso abierto |
| Palabra clave: | Cacti Operad Bialgebars And Module Algebras Gerstenhaber Alegbras Hochschild Cohomology https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | 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. |
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