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Forms of Low Rank

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Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 294)

Abstract

This chapter illustrates how the theory of Clifford algebras can be used for a systematic study of quadratic spaces of low rank. Results from Knus- Ojanguren-Sridharan [1978], Knus-Paques [1985], Knus [1988], Knus- Parimala-Sridharan [1989] and Knus-Parimala-Sridharan [1990] are given without explicit references. For forms of rank ≤6 we compute the invariants and discuss how far they determine the forms. If the rank is odd we usually consider semiregular forms, so that we also obtain results if 2 is not invertible.

Keywords

Clifford Algebra Hermitian Form Quaternion Algebra Quadratic Space Quadratic Module 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  1. 1.Department MathematikETH-ZentrumZürichSwitzerland

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