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Coordinate superalgebra

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#algebraic-geometry #representation-theory #lie-groups #lie-superalgebras
61
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Classification of metric Lie Algebras of dimension 7?

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#lie-groups #lie-algebras
45
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Question about Lie subgroups and homeomorphisms

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#general-topology #lie-groups
60
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Countably-infinite discontinuous unitary irreps

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#representation-theory #hilbert-spaces #lie-groups
1.7k
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Why is the exterior power $\bigwedge^kV$ an irreducible representation of $GL(V)$?

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#group-theory #representation-theory #lie-groups #exterior-algebra #tensor-decomposition
390
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Computing a derivative through Lie series

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#ordinary-differential-equations #lie-groups #differential-operators
66
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Typo? $H$ is quaternion algebra and $C$ is complex number. $M_n(H)\cong M_{2n}(C)$?

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#abstract-algebra #group-theory #geometry #differential-geometry #lie-groups
407
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Is this pseudo-Cartan decomposition of $SO(n)$ valid?

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#reference-request #lie-groups #lie-algebras #matrix-decomposition
64
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For which $P,Q \in \text{SO}$ $T_P\text{SO}$ and $T_Q\text{SO}$ are parallel?

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#differential-geometry #lie-groups #riemannian-geometry #orthogonal-matrices #tangent-spaces
1.5k
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Jacobi Identity of Commutator of Vector Fields

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#differential-geometry #lie-groups #smooth-manifolds #vector-fields
910
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If two rotation matrices commute, do their infinitesimal generators commute too?

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#linear-algebra #lie-groups #lie-algebras #rotations #matrix-exponential
57
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Reference request: Conjugacy classes of real semi-simple Lie group $G$ and their decomposition into $K$-orbits.

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#reference-request #lie-groups
287
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Existence of a non essentially real ideal in a semisimple Lie algebra

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#lie-groups #lie-algebras #semisimple-lie-algebras
853
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Definition of the Lie algebra and the Lie bracket for general vector fields

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#differential-topology #lie-groups #lie-algebras
168
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Existence of a semisimple elliptic subalgebra

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#lie-groups #lie-algebras

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