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arXiv · 1704.03779

Cyclotomic root systems and bad primes

Michel Broué·Ruth Corran·Jean Michel
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Abstract

We generalize the definition and properties of root systems to complex reflection groups - roots become rank one projective modules over the ring of integers of a number field k. In the irreducible case, we provide a classification of root systems over the field of definition k of the reflection representation. In the case of spetsial reflection groups, we generalize as well the definition and properties of bad primes.

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Michel Broué, Ruth Corran, Jean Michel. 2017-04-14. Cyclotomic root systems and bad primes. https://arxiv.org/abs/1704.03779

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