容量为四的内卷代数的判别式菲斯特形式

IF 0.8 2区数学 Q2 MATHEMATICS

Israel Journal of Mathematics Pub Date : 2024-08-04 DOI:10.1007/s11856-024-2647-4

Karim Johannes Becher, Nicolas Grenier-Boley, Jean-Pierre Tignol

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引用次数: 0

摘要

对于阶数为 4 的中心简单代数上的正交或单元卷积，或者阶数为 8 的中心简单代数上的交映卷积，我们会关联一个普菲斯特形式，以描述卷积代数的可分解性。通过这种方法，我们获得了针对几种情况的已知可分解性标准的统一方法，以及针对特征 2 中 8 度代数上的交映卷积的新结果。

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The discriminant Pfister form of an algebra with involution of capacity four

To an orthogonal or unitary involution on a central simple algebra of degree 4, or to a symplectic involution on a central simple algebra of degree 8, we associate a Pfister form that characterises the decomposability of the algebra with involution. In this way we obtain a unified approach to known decomposability criteria for several cases, and a new result for symplectic involutions on degree-8 algebras in characteristic 2.

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来源期刊

Israel Journal of Mathematics 数学-数学

CiteScore

1.70

自引率

10.00%

发文量

审稿时长

6 months

期刊介绍： The Israel Journal of Mathematics is an international journal publishing high-quality original research papers in a wide spectrum of pure and applied mathematics. The prestigious interdisciplinary editorial board reflects the diversity of subjects covered in this journal, including set theory, model theory, algebra, group theory, number theory, analysis, functional analysis, ergodic theory, algebraic topology, geometry, combinatorics, theoretical computer science, mathematical physics, and applied mathematics.