On deformation and classification of ∨-systems
- 10.1080/14029251.2014.975528How to use a DOI?
- Root systems; ∨-systems; WDVV equation
The ∨-systems are special finite sets of covectors which appeared in the theory of the generalized Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equations. Several families of ∨-systems are known, but their classification is an open problem. We derive the relations describing the infinitesimal deformations of ∨-systems and use them to study the classification problem for ∨-systems in dimension three. We discuss also possible matroidal structures of ∨-systems in relation with projective geometry and give the catalogue of all known irreducible rank three ∨-systems.
- © 2014 The Author(s). Published by Taylor & Francis.
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - V. Schreiber AU - A.P. Veselov PY - 2021 DA - 2021/01/06 TI - On deformation and classification of ∨-systems JO - Journal of Nonlinear Mathematical Physics SP - 543 EP - 583 VL - 21 IS - 4 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2014.975528 DO - 10.1080/14029251.2014.975528 ID - Schreiber2021 ER -