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PreprintCC BY 4.0arXiv

Oriented V-systems

  • Maali Alkadhem
  • Misha Feigin
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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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Cite

BibTeXRIS
BibTeX
@misc{alkadhem2026oriented,
  title = {{Oriented V-systems}},
  author = {Maali Alkadhem and Misha Feigin},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.08326},
  eprint = {2611.08326},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.08326},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Oriented V-systems
AU  - Maali Alkadhem
AU  - Misha Feigin
PY  - 2026
DA  - 2026/11/05
PB  - arXiv
DO  - 10.48550/arxiv.2611.08326
UR  - https://arxiv.org/abs/2611.08326
AB  - 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.
ER  -