Weyl groupoids with at most three objects

authored by

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.

External Organisation(s)

University of Kaiserslautern
Ludwig-Maximilians-Universität München (LMU)

Type

Article

Journal

Journal of Pure and Applied Algebra

Volume

213

Pages

1112-1128

No. of pages

17

ISSN

0022-4049

Publication date

01.06.2009

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Algebra and Number Theory

Electronic version(s)

https://doi.org/10.1016/j.jpaa.2008.11.009 (Access: Open)