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- W2951703889 abstract "The root systems appearing in the theory of Lie superalgebras and Nichols algebras admit a large symmetry extending properly the one coming from the Weyl group. Based on this observation we set up a general framework in which the symmetry object is a groupoid. We prove that in our context the groupoid is generated by reflections and Coxeter relations. This answers a question of Serganova. Our weak version of the exchange condition allows us to prove Matsumoto's theorem. Therefore the word problem is solved for the groupoid." @default.
- W2951703889 created "2019-06-27" @default.
- W2951703889 creator A5069976542 @default.
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- W2951703889 date "2006-10-27" @default.
- W2951703889 modified "2023-09-23" @default.
- W2951703889 title "A generalization of Coxeter groups, root systems, and Matsumoto's theorem" @default.
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