Weyl groupoids with at most three objects

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We adapt the generalization of root systems of 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 that there exist infinitely many standard, but only 9 exceptional cases. Key words: Nichols algebra, reflection, root system, Weyl groupoid
31 pages

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Group Theory, Quantum Algebra, 20F55

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http://salesiana.dossiersoluciones.com/handle/123456789/160860

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0805.1810
 http://arxiv.org/abs/0805.1810

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arXiv