THE CANONICAL LINE BUNDLES OVER EQUIVARIANT REAL PROJECTIVE SPACES

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説明

A generator of the reduced KO-group of the real projective space of dimension n is related to the canonical line bundle γ. In the present paper, we will prove that for a finite group G of odd order and a real G-representation U of dimension 2n, in the reduced G-equivariant KO-group of the real projective space associated with the G-representation R ⊕ U, the element 2n+2[γ] is equal to zero.

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