域上二次型导论

Pub Date : 2004-11-01 DOI:10.1090/gsm/067

T. Lam

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引用次数: 817

摘要

基础介绍Witt环四元数代数及其范数形式Brauer-Wall群Clifford代数局部域与全局域代数扩展下的二次型形式实域、实闭域、毕达哥拉域超越扩展下的二次型Pfister形与函数场场不变量二次型专题不变量专题

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Introduction To Quadratic Forms Over Fields

Foundations Introduction to Witt rings Quaternion algebras and their norm forms The Brauer-Wall group Clifford algebras Local fields and global fields Quadratic forms under algebraic extensions Formally real fields, real-closed fields, and pythagorean fields Quadratic forms under transcendental extensions Pfister forms and function fields Field invariants Special topics in quadratic forms Special topics on invariants Bibliography Index.

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