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Date: 17-6-2021
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Date: 22-7-2021
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Date: 24-5-2021
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A homogeneous space is a space with a transitive group action by a Lie group. Because a transitive group action implies that there is only one group orbit,
is isomorphic to the quotient space
where
is the isotropy group
. The choice of
does not affect the isomorphism type of
because all of the isotropy groups are conjugate.
Many common spaces are homogeneous spaces, such as the hypersphere,
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(1) |
and the complex projective space
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(2) |
The real Grassmannian of -dimensional subspaces in
is
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(3) |
The projection makes
a principal bundle on
with fiber
. For example,
is a
bundle, i.e., a circle bundle, on the sphere. The subgroup
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(4) |
acts on the right, and does not affect the first column so is well-defined.
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دراسة تكشف منافع ومخاطر عقاقير خفض الوزن
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ارتفاع تكاليف إنتاج الهيدروجين ونقله يعرقل انتشاره في قطاع النقل
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قسم الشؤون الفكرية يرفد مكتبة جامعة العميد بمجموعةٍ جديدة من الكتب العلمية
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