Symmetric homogeneous convex domains
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Let D be a convex domain in the n-dimensional real number space Rn, not containing any affine line and A(D) the group of all affine transformations of Rn leaving D invariant. If the group A(D) acts transitively on D, then the domain D is said to be homogeneous. From a homogeneous convex domain D in Rn, a homogeneous convex cone V = V(D) in Rn+1 = Rn × R is constructed as follows (cf. Vinberg [11]):which is called the cone fitted on the convex domain D.
1973 ◽
Vol 74
(1)
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pp. 107-116
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1984 ◽
Vol 37
(1)
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pp. 85-90
2001 ◽
Vol 163
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pp. 215-227
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1984 ◽
Vol 36
(2)
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pp. 203-216
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2013 ◽
Vol 24
(14)
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pp. 1350108
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2003 ◽
Vol 86
(1)
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pp. 131-152
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