caa a22 4500 445836415 CHVBK 20180317145331.0 cr unu---uuuuu 170323e20110201xx s 000 0 eng 10.1007/s00209-009-0619-3 doi (NATIONALLICENCE)springer-10.1007/s00209-009-0619-3 Beck Vincent CMLA, ENS Cachan, CNRS, UniverSud, 61 Avenue du Président Wilson, 94230, Cachan, France aut Exterior algebra structure on relative invariants of reflection groups [Elektronische Daten] [Vincent Beck] 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 $${S(V^*) \otimes \Lambda(M^*)}$$. This structure is then used to obtain various generalizations of usual criterions on regularity of integers. Springer-Verlag, 2009 Reflection group nationallicence Relative invariant nationallicence Exterior algebra nationallicence Regular integer nationallicence Hyperplane arrangement nationallicence Mathematische Zeitschrift Springer-Verlag 267/1-2(2011-02-01), 261-289 0025-5874 267:1-2<261 2011 267 209 https://doi.org/10.1007/s00209-009-0619-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00209-009-0619-3 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Beck Vincent CMLA, ENS Cachan, CNRS, UniverSud, 61 Avenue du Président Wilson, 94230, Cachan, France aut NATIONALLICENCE 773 0- Mathematische Zeitschrift Springer-Verlag 267/1-2(2011-02-01), 261-289 0025-5874 267:1-2<261 2011 267 209 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer