BGG correspondence and Roemer's theorem on an exterior algebra
| dc.creator | Yanagawa, Kohji | |
| dc.date | 2004-02-25 | |
| dc.date.accessioned | 2026-07-07T05:05:43Z | |
| dc.date.available | 2026-07-07T05:05:43Z | |
| dc.description | Let E = K< y_1, ..., y_n > be the exterior algebra. The ``(cohomological) distinguished pairs" of a graded E-module M describe the growth of a minimal graded injective resolution of M. Roemer gave a duality theorem between the distinguished pairs of M and those of its dual M^*. In this paper, we show that under Bernstein-Gel'fand-Gel'fand correspondence, his theorem is translated into a natural corollary of local duality for (complexes of) graded S=K[x_1, >..., x_n]-modules. Using this idea, we also give a Z^n-graded version of Roemer's theorem. | |
| dc.description | 11 pages. To appear in Algebras and Representation Theory | |
| dc.identifier | https://arxiv.org/abs/math/0402406 | |
| dc.identifier | http://arxiv.org/abs/math/0402406 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70271 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Rings and Algebras | |
| dc.subject | 13D07; 18E30 | |
| dc.title | BGG correspondence and Roemer's theorem on an exterior algebra | |
| dc.type | text |