Oriented V-systems
Maali Alkadhem, Misha Feigin
Abstract
We introduce the notion of an oriented -system which gives a class of solutions of the oriented associativity equations generalising Veselov's -system solutions of WDVV equations. An oriented -system is a special configuration of pairs of a vector and a covector in a linear space. We show that the class of oriented -systems is closed under taking subsystems and restrictions. We provide examples which include a multiparameter family related to imprimitive complex reflection groups.
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