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Generators for general / special linear groups

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#linear-algebra #group-theory #lie-groups #general-linear-group
293
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How to determine the order of an element of Special Linear Group

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#abstract-algebra #representation-theory #lie-groups #self-learning #general-linear-group
59
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Is ( SU(2n), Sp(n)) a CW pair?

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#algebraic-topology #lie-groups #smooth-manifolds #topological-groups #cw-complexes
302
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Questions about the moment map

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#differential-geometry #lie-groups #symplectic-geometry #moment-map
104
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$GL(n,R)\cong O(n,R)\times B(n,R) $ as smooth manifolds, but are they isomorphic as Lie groups?

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#lie-groups #smooth-manifolds
1.2k
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Proof of the matrix form of the Lie algebra of $SU(2)$

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#lie-groups #lie-algebras #linear-groups #unitary-matrices
405
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Haar measure of $\operatorname{SL}_n(\mathbb{R})$ in terms of the product $K\times A\times N$

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#lie-groups #haar-measure #lattices-in-lie-groups
113
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Classification of Continuous Group Homs from Circle to $SL_2(\mathbb{R})$

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#representation-theory #lie-groups #lie-algebras #semisimple-lie-algebras #classical-groups
2.8k
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Name and layperson's explanation for an E8 group diagram.

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#group-theory #lie-groups #lie-algebras
584
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How do I approximate a covariance in $\langle \mathbb{R}^3, SO(3) \rangle$ as a covariance in $SE(3)$?

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#lie-groups #lie-algebras #covariance
474
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Continuous groups that are not or do not involve Lie groups?

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#differential-geometry #manifolds #differential-topology #lie-groups #geometric-topology
71
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Quaternions and special orthogonal transformations

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#representation-theory #lie-groups #quaternions
77
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Is $0 \rightarrow SU(n) \rightarrow SU(n+1) \rightarrow S^{2n + 1} \rightarrow 0$ exact?

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#lie-groups #exact-sequence #unitary-matrices
43
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How could I show that $\mathrm{Aut}(\mathcal{A})$ is the isotropy group of some point in some representation of $GL(\mathcal{A})$?

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#lie-groups #lie-algebras
226
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Metrics on $SO(n+1)/SO(n)$

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#geometry #differential-geometry #lie-groups

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