UniSa - IRIS Institutional Research Information System
IRIS è la soluzione IT che facilita la raccolta e la gestione dei dati relativi alle attività e ai prodotti della ricerca. Fornisce a ricercatori, amministratori e valutatori gli strumenti per monitorare i risultati della ricerca, aumentarne la visibilità e allocare in modo efficace le risorse disponibili.
EnglishAn involutive distribution C on a smooth manifold M is a Lie-algebroid acting on sections of the normal bundle TM/C. It is known that the Chevalley-Eilenberg complex associated to this representation of C possesses the structure X of a strong homotopy Lie-Rinehart algebra. It is natural to interpret X as the (derived) Lie-Rinehart algebra of vector fields on the space P of integral manifolds of C. In this paper, I show that X is embedded in a strong homotopy associative algebra D of (normal) differential operators. It is natural to interpret D as the (derived) associative algebra of differential operators on P. Finally, I speculate about the interpretation of D as the universal enveloping strong homotopy algebra of X.
| Titolo: | On the strong homotopy associative algebra of a foliation |
| Autori: | |
| Data di pubblicazione: | 2015 |
| Rivista: | |
| Handle: | http://hdl.handle.net/11386/4358054 |
| Appare nelle tipologie: | 1.1.2 Articolo su rivista con ISSN |
File in questo prodotto:
http://hdl.handle.net/11386/4358054
Copyright © 2020