English

Special modules over Jordan algebras

Representation Theory 2025-09-30 v1

Abstract

In this paper we study special representations of finite-dimensional Jordan algebra JJ whose Rad2J=0Rad^2 J=0. For each Jordan algebra JJ of this class we consider its Tits-Kantor-Koecher construction TKK(J)TKK(J) and then associate to the latter a quiver with relations QQ such that the category of representations of QQ is isomorphic to the category of special representations of JJ.

Keywords

Cite

@article{arxiv.2509.23070,
  title  = {Special modules over Jordan algebras},
  author = {Iryna Kashuba and Vera Serganova},
  journal= {arXiv preprint arXiv:2509.23070},
  year   = {2025}
}

Comments

23 pages

R2 v1 2026-07-01T06:00:14.073Z