On the representations of a family of pointed Hopf algebras
We study the representations of a family of pointed Hopf algebras 𝒜 λ , μ which arise as 2-parameter deformations of the Fomin–Kirillov algebra ℱ𝒦 3 . We classify the simple modules and their projective covers. We observe that our results are fundamentally different according to the shape of the Hopf cocycle involved in the deformation.
Authors
- Agustín García Iglesias (ORCID: https://orcid.org/0000-0002-4281-2555)
- Alfio Antonio Rodriguez
Institutions
- Consejo Nacional de Investigaciones Científicas y Técnicas (AR)
- Universidad Nacional de Córdoba (AR)
Publication Details
- Journal
- Annales mathématiques Blaise Pascal
- Published
- 2026-11-02
- DOI
- https://doi.org/10.5802/ambp.441
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Consejo Nacional de Investigaciones Científicas y Técnicas
- Agencia Nacional de Promoción Científica y Tecnológica
- Fondo para la Investigación Científica y Tecnológica