English

On the geometry of V-systems

Mathematical Physics 2007-10-31 v1 math.MP

Abstract

We consider a complex version of the \vee-systems, which appeared in the theory of the WDVV equation. We show that the class of these systems is closed under the natural operations of restriction and taking the subsystems and study a special class of the \vee-systems related to generalized root systems and basic classical Lie superalgebras.

Keywords

Cite

@article{arxiv.0710.5729,
  title  = {On the geometry of V-systems},
  author = {M. Feigin and A. P. Veselov},
  journal= {arXiv preprint arXiv:0710.5729},
  year   = {2007}
}

Comments

18 pages, 1 figure

R2 v1 2026-06-21T09:38:06.456Z