3 papers
math.RA2026
Composition algebras in symmetric tensor categories
Alberto Elduque, Javier Rández-Ibáñez
Composition algebras in symmetric tensor categories are defined. The classical results on standard unital composition algebras, as well as the classification of the unital composit…
math.RA2026
Solvable Quadratic Lie algebras up to dimension 7
Pilar Benito, Javier Rández-Ibáñez
The double extension method allows the construction of quadratic Lie algebras from smaller ones. Using this approach, in this work we describe all solvable indecomposable quadratic…
math.RA2026
Vidinli algebras
Alberto Elduque, Javier Rández-Ibáñez
A new class of nonassociative algebras, Vidinli algebras, is defined based on recent work of CoÅkun and Eden. These algebras are conic (or quadratic) algebras with the extra restr…