On the Decomposition of a Representation of SOn When Restricted to SOn-1

Canadian Journal of Mathematics - Tập 44 Số 5 - Trang 974-1002 - 1992
Benedict H. Gross1, Dipendra Prasad1
1Department of Mathematics, Harvard University, Cambridge, Massachusetts 02138 U.S.A.

Tóm tắt

Let k be a local field, with char(k) ≠ 2. A quadratic space V over k is a finite dimensional vector space together with a non-degenerate quadratic form Q: Vk.The special orthogonal group SO(V) consists of all linear maps T: VV which satisfy:Q(Tv) = Q(v) for all ν and det T = 1.

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