Clifford Klein Form
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a Clifford Klein form is a double coset space G/H, where G is a reductive Lie group, H a closed subgroup of G, and a discrete subgroup of G that acts properly discontinuously on the homogeneous space G/H. A suitable discrete subgroup may or may not exist, for a given G and H. If exists, there is the question of whether G/H can be taken to be a compact space, called a compact Clifford Klein form. When H is itself compact, classical results show that a c...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a Clifford Klein form is a double coset space G/H, where G is a reductive Lie group, H a closed subgroup of G, and a discrete subgroup of G that acts properly discontinuously on the homogeneous space G/H. A suitable discrete subgroup may or may not exist, for a given G and H. If exists, there is the question of whether G/H can be taken to be a compact space, called a compact Clifford Klein form. When H is itself compact, classical results show that a compact Clifford Klein form exists. Otherwise it may not, and there are a number of negative results.
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