Symmetric Powers of Symmetric Bilinear Forms

• 来源期刊: 代数集刊（英文版）
• 关键词: exterior power symmetric power pre-λ-ring λ-ring λ-ring-augmentation symmetric bilinear form Witt ring Witt-Grothendieck ring
• 年，卷（期）: 2005,（1）
• 页码范围: 41-57
• 页数: 17页
• 语种: 英文

摘要

We study symmetric powers of classes of symmetric bilinear forms in the Witt-Grothendieck ring of a field of characteristic not equal to 2, and derive their basic properties and compute their classical invariants. We relate these to earlier results on exterior powers of such forms.