Exterior Algebra Structure for Relative Invariants of Reflection Groups
| dc.creator | Beck, Vincent | |
| dc.date | 2009-03-09 | |
| dc.date | 2009-03-09 | |
| dc.date.accessioned | 2026-07-07T12:50:31Z | |
| dc.date.available | 2026-07-07T12:50:31Z | |
| dc.description | Let $G$ be a reflection group acting on a vector space $V$ (over a field with zero characteristic). We denote by $S(V^*)$ the coordinate ring of $V$, by $M$ a finite dimensional $G$-module and by $χ$ a one-dimensional character of $G$. In this article, we define an algebra structure on the isotypic component associated to $χ$ of the algebra $S(V^*) \otimes Λ(M^*)$. This structure is then used to obtain various generalizations of usual criterions on regularity of integers. | |
| dc.description | 26 pages | |
| dc.identifier | https://arxiv.org/abs/0903.1586 | |
| dc.identifier | http://arxiv.org/abs/0903.1586 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/222710 | |
| dc.subject | Group Theory | |
| dc.subject | Rings and Algebras | |
| dc.subject | 13A50; 15A75 | |
| dc.title | Exterior Algebra Structure for Relative Invariants of Reflection Groups | |
| dc.type | text |