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Cup product structure for symplectic K2

 

作者: Jack M. Shapiro,  

 

期刊: Communications in Algebra  （Taylor Available online 1990）
卷期: Volume 18, issue 6  

页码: 1879-1898

 

ISSN:0092-7872

 

年代: 1990

 

DOI:10.1080/00927879008823999

 

出版商: Marcel Dekker, Inc.

 

关键词: L-theory;cup product symbols;Witt ring;fundemental ideal;classical invariants

 

数据来源: Taylor

 

摘要:

For a field F with trivial involution we have the Karoubi L-groups ±1Ln(F). For 0≤n≤2 these groups are intimately related to subgroups of the classical Witt ring of quadratic forms. -1L2(F) also has a presentation by symbols due to Matsumoto. In terms of this data we make explicit calculations for two cup product maps that appear in the L-theory of fields.

 

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