Exterior Powers of Symmetric Bilinear Forms

• 来源期刊: 代数集刊（英文版）
• 关键词: symmetric bilinear form exterior power Witt ring Witt-Grothendieck ring λ-ring
• 年，卷（期）: 2002,（2）
• 页码范围: 197-218
• 页数: 22页
• 语种: 英文

摘要

We study exterior 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. The exterior powers are used to obtain annihilating polynomials for quadratic forms in the Witt ring.