Skew group algebras of piecewise hereditary algebras are piecewise hereditary
| dc.creator | Dionne, Julie | |
| dc.creator | Lanzilotta, Marcelo | |
| dc.creator | Smith, David | |
| dc.date | 2007-03-17 | |
| dc.date | 2008-05-02 | |
| dc.date.accessioned | 2026-07-07T09:36:28Z | |
| dc.date.available | 2026-07-07T09:36:28Z | |
| dc.description | We show that the main results of Happel-Rickard-Schofield (1988) and Happel-Reiten-Smalo (1996) on piecewise hereditary algebras are coherent with the notion of group action on an algebra. Then, we take advantage of this compatibility and show that if G is a finite group acting on a piecewise hereditary algebra A over an algebraically closed field whose characteristic does not divide the order of G, then the resulting skew group algebra A[G] is also piecewise hereditary. | |
| dc.description | 13 pages, typos corrected. To appear in J. Pure Appl. Algebra | |
| dc.identifier | https://arxiv.org/abs/math/0703507 | |
| dc.identifier | http://arxiv.org/abs/math/0703507 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/160132 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Representation Theory | |
| dc.subject | 16S35, 18E30 | |
| dc.title | Skew group algebras of piecewise hereditary algebras are piecewise hereditary | |
| dc.type | text |