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Let X n denote the set of quadratic forms in n variables over a finite field F q of characteristic 2, and X n the association scheme on X n by defining the relations with respect to the type of quadratic forms. We prove that every automorphism of X n is of the form X ↦ P t X σ P + Y for all X ∈ X n , where P ∈ GL n (F q ), σ is an automorphism of F q , and Y ∈ X n .
Algebra Colloquium – Springer Journals
Published: Jan 1, 2003
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