Mathematics, 14.02.2020 23:52 emily965692

O(n) denotes the orthogonal group, the subgroup of GLn(R) consisting of all real orthogonal n × n matrices. These are the rotations and reflections of R n that fix the origin. Find the orbits of the O(2)-action on R 2 . For a point (x, y) ∈ R 2 what is its stabilizer?

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O(n) denotes the orthogonal group, the subgroup of GLn(R) consisting of all real orthogonal n × n ma...