Alternating and symmetric superpowers of metric generalized Jordan superpairs
Abstract
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 $\mathbb{F}$ 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.
Fields of Study & Subjects
Rings
Modules
and Algebras
Advanced Topics in Algebra
Matrix Theory and Algorithms
Publication details
- Journal / source
- Linear Algebra and its Applications
- Volume
- 735
- Pages
- 57–104
- Publication date
- 13 January 2026
- Language
- EN