2023/01/22 by Diego Aranda-Orna, Aranda-Orna, Diego, Alejandra S. Córdova-Martínez +1
Mathematics · #17B70 #17C50 #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT) #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.2301.09171
openalex publication_date 2023/01/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The aim of this paper is to define and study the constructions of alternating and symmetric (super)powers of metric generalized Jordan (super)pairs. These constructions are obtained by transference via the Faulkner construction. The construction of tensor (super)products for metric generalized Jordan (super)pairs is revisited. We always assume that the characteristic of the base field \mathbbF is different from 2; in case of positive characteristic, sometimes we require that the characteristic is large enough to allow nondegeneracy of certain bilinear forms.