ArTS Archivio della ricerca di Trieste
ArTS è il sistema di gestione integrata dei dati della ricerca adottato dall' Università degli Studi di Trieste
EnglishWe generalize the notion, introduced by Henri Cartan, of an operation of a Lie algebra g in a graded differential algebra Ω. We define the notion of an operation of a Hopf algebra H in a graded differential algebra Ω which is refered to as a H-operation. We then generalize for such an operation the notion of algebraic connection. Finally we discuss the corresponding noncommutative version of the Weil algebra: The Weil algebra W(H) of the Hopf algebra H is the universal initial object of the category of H-operations with connections.
| Titolo: | The Weil Algebra of a Hopf Algebra - I - A noncommutative framework |
| Autori: | |
| Data di pubblicazione: | 2014 |
| Rivista: | |
| Abstract: | We generalize the notion, introduced by Henri Cartan, of an operation of a Lie algebra g in a graded differential algebra Ω. We define the notion of an operation of a Hopf algebra H in a graded differential algebra Ω which is refered to as a H-operation. We then generalize for such an operation the notion of algebraic connection. Finally we discuss the corresponding noncommutative version of the Weil algebra: The Weil algebra W(H) of the Hopf algebra H is the universal initial object of the category of H-operations with connections. |
| Handle: | http://hdl.handle.net/11368/2829621 |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s00220-014-1902-7 |
| Appare nelle tipologie: | 1.1 Articolo in Rivista |
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Utilizza questo identificativo per citare o creare un link a questo documento:
http://hdl.handle.net/11368/2829621
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.