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searching for Associated bundle 4 found (37 total)

Lie algebra–valued differential form (1,495 words) [view diff] exact match in snippet view article find links to article

{\mathfrak {g}}} via adjoint representation and so one can form the associated bundle: gP=P×Adg.{\displaystyle {\mathfrak {g}}_{P}=P\times _{\operatorname

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

entire M{\displaystyle M} and its isotropy Lie algebra bundle is the associated bundle P×Gg{\displaystyle P\times _{G}{\mathfrak {g}}}) Integrable (to the

Equivariant sheaf (1,438 words) [view diff] exact match in snippet view article find links to article

Note that G→G/B is a B bundle, so this is just an example of the associated bundle construction. The Borel–Weil–Bott theorem says that all representations

Legendre transformation (8,414 words) [view diff] exact match in snippet view article find links to article

π:E→M{\textstyle \pi :E\to M} be a vector bundle on M{\displaystyle M} and its associated bundle projection, respectively. Let L:E→R{\textstyle L:E\to \mathbb {R}