RT Conference Proceedings T1 Categorías tensoriales, álgebras y superálgebras A1 Elduque Palomo, Alberto K1 Álgebra K1 Categoría (Matemáticas) AB After reviewing the basic definitions of tensor categories and the notion of semisimplification of symmetric tensor categories, it will be shown how the semisimplification of the category of representations of the cyclic group of order 3 over a field of characteristic 3 is naturally equivalent to the category of vector superspaces over this field. This allows to define a superalgebra starting with any algebra endowed with an order 3 automorphism. As a noteworthy example, the exceptional composition superalgebras will be obtained, in a systematic way, from the split octonion algebra. YR 2022 FD 2022 LK https://hdl.handle.net/10630/24480 UL https://hdl.handle.net/10630/24480 LA eng NO Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tech. DS RIUMA. Repositorio Institucional de la Universidad de Málaga RD 19 ene 2026