Submission: 2002, Mar 09
We study symmetric 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 and compute their classical invariants. We relate these to earlier results on exterior powers of such forms.
1991 AMS Subject Classification: 11E04, 11E81
Keywords and Phrases: exterior power, symmetric power, pre-$\lambda$-ring, $\lambda$-ring, $\lambda$-ring augmentation, symmetric bilinear form, Witt ring, Witt-Grothendieck ring.
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