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Classifying all rank 2 and 3 root systems

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#abstract-algebra #representation-theory #lie-groups #lie-algebras #root-systems
301
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Projective linear group - solvable

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#group-theory #finite-groups #lie-groups #simple-groups #solvable-groups
98
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concerning coadjoint representation

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#geometry #group-theory #representation-theory #lie-groups #lie-algebras
545
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Isomorphisms of the Lorentz group and algebra

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#group-theory #representation-theory #lie-groups #lie-algebras #quantum-field-theory
2.4k
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Tangent space at the identity element of a lie group

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#differential-geometry #manifolds #lie-groups #lie-algebras
512
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The closed subgroup of Lie group

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#lie-groups
521
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What is the number of non-compact generators of $\operatorname{so}(p, q)$ and $\operatorname{su}(p, q)$?

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#lie-groups #lie-algebras
1.9k
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Every principal $G$-bundle over a surface is trivial if $G$ is compact and simply connected: reference?

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#lie-groups #homotopy-theory #fiber-bundles #classifying-spaces
1.9k
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The Lie algebra of the commutator subgroup

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#lie-groups #lie-algebras
156
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Equality involving Lie Brackets

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#differential-geometry #lie-groups #lie-algebras
204
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Question about lie bracket..

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#differential-geometry #manifolds #lie-groups #lie-algebras
93
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Differentiation in group space

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#lie-groups #gauge-theory
126
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Branching rule restriction to $\mathrm{O}_9 \Bbb C$ from $\mathrm{GL}_9 \Bbb C$

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#representation-theory #lie-groups #branching-rules
656
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Is this distribution involutive?

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#differential-geometry #manifolds #lie-groups #lie-algebras
415
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Complexification of the real lie algebra $\mathrm{sp}(m,n)$

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#lie-groups

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