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arXiv · 2611.08326

Oriented V-systems

Maali Alkadhem·Misha Feigin
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Abstract

We introduce the notion of an oriented $\vee$-system which gives a class of solutions of the oriented associativity equations generalising Veselov's $\vee$-system solutions of WDVV equations. An oriented $\vee$-system is a special configuration of pairs of a vector and a covector in a linear space. We show that the class of oriented $\vee$-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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Maali Alkadhem, Misha Feigin. 2026-11-05. Oriented V-systems. https://arxiv.org/abs/2611.08326

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