Forms of Low Rank
- 599 Downloads
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 , Knus-Paques , Knus , Knus- Parimala-Sridharan  and Knus-Parimala-Sridharan  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.
KeywordsClifford Algebra Hermitian Form Quaternion Algebra Quadratic Space Quadratic Module
Unable to display preview. Download preview PDF.