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Session 31. Representation Theory, Transformation Groups, and Applications
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On infinite Weyl groupoids |
Michael Cuntz, Leibniz Universität Hannover, Germany
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Finite Weyl groupoids have been introduced as a tool to classify finite
dimensional Nichols algebras. However, a Weyl groupoid may be associated
to an arbitrary Nichols algebra. A first step towards a classification
of infinite dimensional Nichols algebras is perhaps to understand Weyl
groupoids with an infinite root system: In this talk, we report on the
so-called infinite crystallographic arrangements, their correspondence
to Weyl groupoids, and about first classification results.
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