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Cyclotomic root systems and bad primes
Published 12 Apr 2017 in math.RT and math.GR | (1704.03779v2)
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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