Weyl groupoids with at most three objects

verfasst von

M. Cuntz, I. Heckenberger

Abstract

We adapt the generalization of root systems by the second author and H. Yamane to the terminology of category theory. We introduce Cartan schemes, associated root systems and Weyl groupoids. After some preliminary general results, we completely classify all finite Weyl groupoids with at most three objects. The classification yields the result that there exist infinitely many "standard", but only 9 "exceptional" cases.

Externe Organisation(en)

Technische Universität Kaiserslautern
Ludwig-Maximilians-Universität München (LMU)

Typ

Artikel

Journal

Journal of Pure and Applied Algebra

Band

213

Seiten

1112-1128

Anzahl der Seiten

17

ISSN

0022-4049

Publikationsdatum

01.06.2009

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Algebra und Zahlentheorie

Elektronische Version(en)

https://doi.org/10.1016/j.jpaa.2008.11.009 (Zugang: Offen)