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Projection onto the tangent spaces of $O(n)$

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#lie-groups #riemannian-geometry #smooth-manifolds #matrix-calculus #orthogonal-matrices
262
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Covariant derivative on the base space

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#differential-geometry #lie-groups #lie-algebras #fiber-bundles #principal-bundles
742
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$O(3)/SO(3) \cong \mathbb{Z}_2$

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#group-theory #representation-theory #lie-groups
81
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Lorentz algebra elements

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#lie-groups #lie-algebras
143
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Is SO(n) a deformation retract of SO(n+1) for $n\ge 3$?

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#general-topology #algebraic-topology #lie-groups #topological-groups
433
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Proving a discrete normal subgroup of a connected group must be contained in the center

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#group-theory #lie-groups
67
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Flow of vector field $V_p = \frac{d}{dt} \left|_{t=0} \right. \ p \cdot e^{2\pi it}$ on a manifold $M$ with an $S^1$-action

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#differential-geometry #lie-groups #vector-fields
63
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Bruhat decomposition basic question

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#group-theory #lie-groups
711
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Given Cartan matrix, find root and Dynkin diagram

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#lie-groups #root-systems #dynkin-diagrams
148
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A representation induced from one subgroup and restricted to another

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#group-theory #representation-theory #lie-groups
103
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What is the relation between Lie algebra/ group and formal group laws

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#lie-groups #lie-algebras #formal-groups
65
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local homeomorphism between $\mathfrak{so}(n)$ and $SO(n)$

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#lie-groups #lie-algebras #smooth-manifolds
721
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Center of SU(3)

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#group-theory #lie-groups #abelian-groups
534
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Quaternions and $SU(2)$

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#lie-groups #quaternions #orthogonal-matrices #unitary-matrices #linear-groups
221
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Matrix form of $SU(2)\times SU(2)$ acting on the Quaternions

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#lie-groups

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