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math.RT2024
Presentations of the braid group of the complex reflection group
Francesca Fedele, Bethany Rose Marsh
We show that the braid group associated to the complex reflection group is an index subgroup of the braid group of the orbifold quotient of the complex numbers by a…
math.RT2024
Mutation of τ-exceptional pairs and sequences
Aslak B. Buan, Eric J. Hanson, Bethany R. Marsh
We introduce a notion of mutation for -exceptional sequences of modules over arbitrary finite dimensional algebras. For hereditary algebras, we show that this coincides with the…