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Nonlinear Lie group from Fulton & Harris

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#linear-algebra #representation-theory #lie-groups #lie-algebras #diagonalization
174
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Given adjoint action find original matrix.

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#group-theory #lie-groups #lie-algebras
11.2k
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What are applications of Lie groups/algebras in mathematics?

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#reference-request #lie-groups #lie-algebras #smooth-manifolds
958
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Equivalent definitions of positive root system

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#lie-algebras #root-systems
34
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The algebra of $W$-invariant polynomial funktions sl2

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#lie-algebras
33
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Are the elements of the adjoint represetnation normal operators

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#representation-theory #lie-groups #lie-algebras
132
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Ideals of Lie-algebras

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#lie-groups #lie-algebras
323
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Standard cyclic module of sl2

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#lie-algebras
84
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Criterion for semisimplicity for $\mathfrak{so}_6(\Bbb C)$

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#abstract-algebra #representation-theory #lie-algebras
95
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Lie algebra operations from lie group

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#lie-groups #lie-algebras
1.1k
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Left and right action?!

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#group-theory #differential-geometry #algebraic-topology #lie-groups #lie-algebras
18
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Compute variation left action subgroup

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#gauge-theory #group-theory #lie-algebras
1k
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The fundamental vector fields of a principal bundle are vertical.

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#differential-geometry #differential-topology #lie-groups #lie-algebras #principal-bundles
119
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Formula for $\theta:\mathfrak{P}(L)^{G}\to \mathfrak{P}(H)^{W}$ for $\mathfrak{sl}_2$; exercise in Humphrey

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#representation-theory #lie-algebras
94
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$\mathfrak g = [\mathfrak g,e]\oplus {\rm Ker}({\rm ad}f)$ for an $\mathfrak {sl}_2$-triple $\{e,h,f\}$.

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#representation-theory #lie-algebras

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