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

Published online by Cambridge University Press:  20 November 2018

Benedict H. Gross  and
Dipendra Prasad
Benedict H. Gross
Affiliation:
Department of Mathematics, Harvard University, Cambridge, Massachusetts 02138, U.S.A.
Dipendra Prasad
Affiliation:
Department of Mathematics, Harvard University, Cambridge, Massachusetts 02138, U.S.A.
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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: V → k.The special orthogonal group SO(V) consists of all linear maps T: V → V which satisfy:

Q(Tv) = Q(v) for all ν and det T = 1.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 44 , Issue 5 , 01 October 1992 , pp. 974 - 1002
Copyright
Copyright © Canadian Mathematical Society 1992

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