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October 20, 2025Open Access

Special modules over Jordan algebras

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Authors

IKIryna KashubaVSVera Serganova

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Overview

This study demonstrates a connection between special representations and categories of quivers in Jordan algebras, indicating structural insights.

Key Points

  • The category of special representations of finite-dimensional jordan algebras is explored.
  • A quiver with relations is associated with the Tits-Kantor-Koecher construction of the algebra.
  • This reveals isomorphism between representation categories, enriching our understanding of algebraic structures.
  • The approach involves finite-dimensional algebras where Rad^2 J equals zero, applying significant algebraic theories.

Cite This Study

Kashuba et al. (2025) studied this question.

synapsesocial.com/papers/68f6196ee0bbbc94fac364e5https://doi.org/10.48550/arxiv.2509.23070
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