Seán McGarraghy: Exterior powers of symmetric bilinear forms

Submission: 2001, Aug 27

We study exterior powers of classes of symmetric bilinear forms in the Witt-Grothendieck ring of a field of characteristic not equal to 2, and derive their basic properties. The exterior powers are used to obtain annihilating polynomials for quadratic forms in the Witt ring.

1991 AMS Subject Classification: 11E04, 11E81

Keywords and Phrases: symmetric bilinear form, exterior power, Witt ring, Witt-Grothendieck ring, lambda-ring

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