Work

Composition algebras in symmetric tensor categories

Year: 2026

Type: preprint

Abstract: Composition algebras in symmetric tensor categories are defined. The classical results on standard unital composition algebras, as well as the classification of the unital composition superalgebras, are reviewed in light of this definition, and the unital composition algebras in the category $Ver_4^+$ (the counterpart to the category of vector superspaces in characteristic 2) are classified.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2608.04668

Authors: Elduque, Alberto, Rández-Ibáñez, Javier

Institutions: Universidad de La Rioja, Universidad de Zaragoza, Instituto Universitario de Matemáticas y Aplicaciones

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Gobierno de Aragón, Universidad de La Rioja, European Regional Development Fund, Agencia Estatal de Investigación

Awards: G1175115578, G2262748287, G300979063, G3020948319, G34346518, G3480869486, G3845300180, G410571670, G425668148, G451917667, G5080475149, G5089039682, G5967599077, G6372765033, G7434936867, Álgebra y Geometría, G929308097

OpenAlex ID: W7197022528

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