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searching for Lie algebra bundle 4 found (8 total)

Lie algebroid (6,953 words) [view diff] exact match in snippet view article find links to article

necessarily locally trivial) bundle of Lie algebras, called the isotropy Lie algebra bundle the image Im(ρ)⊆TM{\displaystyle \mathrm {Im} (\rho )\subseteq TM}

Atiyah algebroid (1,197 words) [view diff] exact match in snippet view article find links to article

its unique orbit is the entire M{\displaystyle M} and its isotropy Lie algebra bundle is the associated bundle P×Gg{\displaystyle P\times _{G}{\mathfrak

Hitchin's equations (1,350 words) [view diff] exact match in snippet view article find links to article

ad P C {\displaystyle {\text{ad}}P^{\mathbb {C} }} and gives this Lie algebra bundle the structure of a holomorphic vector bundle. Therefore, the condition

Adjoint representation (3,516 words) [view diff] exact match in snippet view article find links to article

is closest in the case of nilpotent Lie groups. Adjoint bundle – Lie algebra bundle associated to any principal bundle by the adjoint representationPages