Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6414987 | Journal of Algebra | 2011 | 80 Pages |
Abstract
The epicenter of this paper concerns Pfister quadratic forms over a field F with a Henselian discrete valuation. All characteristics are considered but we focus on the most complicated case where the residue field has characteristic 2 but F does not. We also prove results about round quadratic forms, composition algebras, generalizations of composition algebras we call conic algebras, and central simple associative symbol algebras. Finally we give relationships between these objects and Kato's filtration on the Milnor K-groups of F.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Skip Garibaldi, Holger P. Petersson,