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Cohomology group of an algebra

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#lie-algebras
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Principal bundles, connection forms and fundamental vector fields

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#differential-geometry #manifolds #lie-groups #lie-algebras #principal-bundles
65
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The negative of a vector field and its flow

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#differential-topology #lie-groups #lie-algebras #smooth-manifolds
346
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Exterior derivatives involving representations

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#differential-geometry #manifolds #lie-groups #lie-algebras #differential-forms
166
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Why is left-invariant vector fields needed to construct a Lie algebra from a Lie group?

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#lie-groups #lie-algebras
45
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How to prove $e^{π(ω)} = cos(ω)I_3 + (1 − cos(ω))ωˆ ⊗ ωˆ + sin(ω)π(ωˆ )$?

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#lie-groups #lie-algebras #matrix-equations
1.3k
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Are unipotent algebraic groups connected?

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#algebraic-geometry #lie-groups #lie-algebras #algebraic-groups
282
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Generalization of Schur's Lemma: finite dim. representations of real Lie algebras

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#lie-algebras
215
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Help! How to derive the result related to Darboux derivative?

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#differential-geometry #derivatives #manifolds #lie-algebras #connections
3.2k
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Normal Subgroups of $SU(n)$

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#group-theory #lie-groups #lie-algebras
1.2k
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Clarification on notation of "left invariant fields" (Lie groups)

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#lie-groups #lie-algebras
288
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Why for simple roots in Lie algebras the master formula reduces to one integer?

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#lie-groups #lie-algebras
511
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Are there pairs of matrices whose nested commutators don't vanish?

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#linear-algebra #matrices #lie-groups #lie-algebras
1.8k
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İf x is diagonalizable then ad(x) is also diagonalizable

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#linear-algebra #lie-groups #lie-algebras
106
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$\mathfrak{sp}_4$ is a subspace of the vector space of all $4\times 4$ matrices

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#abstract-algebra #matrices #vector-spaces #lie-algebras

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