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Non-Abelian Lie Group from Abelian Group

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#lie-groups #abelian-groups
681
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Is every family of diffeomorphisms generated by a family of vector fields?

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#differential-geometry #lie-groups #lie-algebras #diffeomorphism
829
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Intuition behind the relation of commutative Hopf algebra and Groups

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#abstract-algebra #lie-groups #hopf-algebras #quantum-groups
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Relationship between highest and lowest weights for a simple complex Lie algebra

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#linear-algebra #differential-geometry #representation-theory #lie-groups #lie-algebras
66
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Image of Embedded Lie Group is Unique

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#group-theory #differential-geometry #lie-groups
57
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What does the weights of $\mathfrak{gl}(V)$ look like as a Lie-module?

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#lie-groups #lie-algebras
425
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Third homotopy group of quotient space

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#lie-groups #compactness #homotopy-theory #connectedness #quotient-spaces
165
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Tangent map of homomorphism of Lie groups preserves commutator

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#lie-groups
713
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What is a Minimal Parabolic Subalgebra?

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#lie-groups #lie-algebras #root-systems
848
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Lie algebra and Lie Group correspondence

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#lie-groups #lie-algebras
211
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Does the fixed point functor preserve colimit and limit?

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#category-theory #lie-groups #limits-colimits #equivariant-maps
342
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Coincidence of Lie Algebra and Lie Subgroup

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#linear-algebra #differential-geometry #differential-topology #lie-groups #lie-algebras
345
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how to calculate the quotient group of $U/DU$ where $U$ is an arbitrary unitary matrices, and $DU$ is diagonal unitary matrices?

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#general-topology #group-theory #lie-groups
751
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Prove that the identification of $T_e G$ with the space of right-invariant vector fields induces the opposite Lie algebra structure.

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#lie-groups #lie-algebras
42
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Explicit generators of $\mathfrak{so}(6)$

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#lie-groups #lie-algebras

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