Local orthogonal groups over 2-adic fields I
نویسندگان
چکیده
منابع مشابه
Orthogonal Groups over Local Rings
In an earlier paper [S] we have determined the structure of the linear groups over a local ring. In this note we continue the study of the classical groups over a local ring with the investigation of the orthogonal groups. Our main result (cf. Theorem 6 below) is a complete description of the invariant subgroups of an orthogonal group of noncompact type (i.e., of index ^ 1) over a local ring L ...
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(a) (b) (c) b b ˆ Figure 1: Geometric interpretation of the orthogonalization procedure using the Fourier transform as a tool. The group is ? = fI; V g, where V performs the exchange of the components of vectors from R 2. (a) Projection of b on the ?-invariant subspaces relative to U 1 and U ?1. (b) Normalization of the two projections. (c) Recombination of the normalized projections yielding t...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1974
ISSN: 0021-8693
DOI: 10.1016/0021-8693(74)90110-0