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15
53
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Complexification of $\mathbb{C}\mathbb{P}^3$ as a coset

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#abstract-algebra #group-theory #lie-groups #lie-algebras
207
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Definition of "left-invariant connection"

Published on
#lie-groups #connections
15
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The value of $H^2(U(N), U(1))$

Published on
#lie-groups #group-cohomology
1.9k
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How is $SL(2,\mathbb{C})$ the complexification of $SU(2)$?

Published on
#lie-groups #unitary-matrices
91
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$PSL_2(\mathbb{R}) \simeq SO^+_{(1,2)}(\mathbb{R})$

Published on
#linear-algebra #lie-groups #hyperbolic-geometry
55
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Haar-measure on Lie-Group has maximal entropy?

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#measure-theory #lie-groups #ergodic-theory #entropy #haar-measure
1.1k
Views

Intuition/Significance of adjoint representation of a Lie group

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#group-theory #differential-geometry #lie-groups #lie-algebras #intuition
200
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$SU(3)$ acts transitively on $S^5$.

Published on
#differential-geometry #lie-groups #group-actions #linear-groups
356
Views

Do these one parameter subgroups generate the Lie group?

Published on
#lie-groups #lie-algebras
127
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Differentiable parametrizations of the permutation group

Published on
#permutations #lie-groups
365
Views

A question on Serre' open image theorem and p-adic Lie group

Published on
#lie-groups #elliptic-curves #p-adic-number-theory #galois-representations
209
Views

$G$-Left Invariant Metric implies Reductiveness

Published on
#differential-geometry #lie-groups #riemannian-geometry #homogeneous-spaces
592
Views

Does every compact Lie group admit a bi-invariant differential $k$-form?

Published on
#differential-geometry #lie-groups #differential-forms #volume #symmetry
47
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Representation of $S^1\to U(2)$

Published on
#representation-theory #lie-groups
371
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Surjectivity of Lie group covering map

Published on
#lie-groups #lie-algebras

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