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QUADRATIC FORMS  
Acknowledgements
 
Introduction
 
Constructions and Conversions
 
Local Invariants
 
Isotropic Subspaces
 
Bibliography







 
Introduction

 
Constructions and Conversions
      SymmetricMatrix(f) : RngMPolElt -> Mtrx
      GramMatrix(L) : Lat -> Mtrx
      QuadraticForm(L) : Lat -> RngMPolElt
      QuadraticForm(M) : Mtrx -> RngMPolElt
      QuadraticFormWithInvariants(n, d, F, N) : RngIntElt, RngElt, RngIntElt , RngIntElt -> AlgMatElt

 
Local Invariants
      pSignature(f,p) : RngMPolElt, RngIntElt -> RngIntElt
      Oddity(f) : RngMPolElt -> RngIntElt
      pExcess(f, p) : RngMPolElt, RngIntElt -> RngIntElt
      WittInvariant(f, p) : RngMPolElt, RngIntElt -> RngIntElt
      WittInvariant(L, p) : Lat, RngIntElt -> RngIntElt
      HasseInvariant(f, p) : RngMPolElt, RngIntElt -> RngIntElt
      HasseInvariant(L, p) : Lat, RngIntElt -> RngIntElt
      WittInvariants(f) : RngMPolElt -> SeqEnum
      QuadraticFormInvariants(f) : RngMPolElt -> FldElt, SetEnum, SeqEnum[RngIntElt]

 
Isotropic Subspaces
      IsotropicSubspace(f) : RngMPolElt -> ModTupRng
      Example QuadForm_isotropy-and-witt (H34E1)
      Example QuadForm_second-example-Witt (H34E2)

 
Bibliography

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