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In which fields Root Systems are useful? And why?

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#abstract-algebra #soft-question #lie-algebras
203
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How can one find all compact connected subgroups of a classical compact Lie group?

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#lie-groups #lie-algebras
46
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Lie Group of $C^k$-curves?

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#differential-geometry #reference-request #hilbert-spaces #lie-groups #lie-algebras
182
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Prove that centralizers of regular elements are abelian

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#lie-groups #lie-algebras
345
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Condition for composition of vector fields to be a vector field

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#differential-geometry #manifolds #lie-algebras #smooth-manifolds #lie-derivative
69
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Composition Series of $sl_3(\Bbb C)$

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#lie-algebras
822
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Existence of Killing field

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#differential-geometry #partial-differential-equations #lie-groups #riemannian-geometry #lie-algebras
327
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Questions about Heisenberg lie algebra and it's representation.

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#representation-theory #lie-algebras
240
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Vector bundle and principal bundle

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#lie-groups #lie-algebras #vector-bundles #fiber-bundles #principal-bundles
279
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Why the structure group of principal $G$-bundle must be subgroup of $G$?

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#differential-geometry #lie-groups #riemannian-geometry #lie-algebras #principal-bundles
114
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Vector bundle and principal bundle

Published on
#lie-groups #riemannian-geometry #lie-algebras #fiber-bundles #principal-bundles
181
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Questions about non-abelian 2 dimensional lie algebras

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#lie-algebras
67
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jacobson radical and frattini

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#abstract-algebra #lie-algebras
1.2k
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Lie derivative and left-invariance of differential forms

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#lie-groups #lie-algebras
43
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Center of Spin(V)

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#differential-geometry #lie-groups #riemannian-geometry #lie-algebras #spin-geometry

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