Alternating and symmetric superpowers of metric generalized Jordan superpairs

IF 1.1 3区数学 Q1 MATHEMATICS

Linear Algebra and its Applications Pub Date : 2026-04-15 Epub Date: 2026-01-13 DOI:10.1016/j.laa.2026.01.007

Diego Aranda-Orna , Alejandra S. Córdova-Martínez

引用次数: 0

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

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.

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度量广义Jordan超对的交替和对称超幂

本文的目的是定义和研究度量广义Jordan（超）对的交替对称（超）幂的构造。这些结构是通过福克纳结构的移情而获得的。重新研究了度量广义约当（超）对的张量（超）积的构造。我们总是假设基场的特性F不同于2；在正特征的情况下，有时我们要求特征足够大以允许某些双线性形式的不退化。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Linear Algebra and its Applications 数学-应用数学

CiteScore

2.20

自引率

9.10%

发文量

333

审稿时长

13.8 months

期刊介绍： Linear Algebra and its Applications publishes articles that contribute new information or new insights to matrix theory and finite dimensional linear algebra in their algebraic, arithmetic, combinatorial, geometric, or numerical aspects. It also publishes articles that give significant applications of matrix theory or linear algebra to other branches of mathematics and to other sciences. Articles that provide new information or perspectives on the historical development of matrix theory and linear algebra are also welcome. Expository articles which can serve as an introduction to a subject for workers in related areas and which bring one to the frontiers of research are encouraged. Reviews of books are published occasionally as are conference reports that provide an historical record of major meetings on matrix theory and linear algebra.