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Longer titles found: Lie algebra bundle (view)

searching for Algebra bundle 8 found (17 total)

Tensor algebra (4,161 words) [view diff] no match in snippet view article find links to article

In mathematics, the tensor algebra of a vector space V, denoted T(V) or T•(V), is the algebra of tensors on V (of any rank) with multiplication being the

Lie algebroid (7,376 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 I m ( ρ ) ⊆ T M {\displaystyle \mathrm {Im} (\rho )\subseteq

Spinor (9,924 words) [view diff] exact match in snippet view article find links to article

roots" of sections of vector bundles – in the case of the exterior algebra bundle of the cotangent bundle, they thus become "square roots" of differential

Noncommutative geometry (2,408 words) [view diff] exact match in snippet view article find links to article

constructed from a smooth vector bundle E over M, e.g. the exterior algebra bundle. The Hilbert space L2(M, E) of square integrable sections of E carries

Atiyah algebroid (1,230 words) [view diff] exact match in snippet view article find links to article

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

Adjoint representation (3,517 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

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

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

Seiberg–Witten invariants (2,630 words) [view diff] exact match in snippet view article find links to article

The spinor bundle W {\displaystyle W} comes with a graded Clifford algebra bundle representation i.e. a map γ : C l i f f ( M , g ) → E n d ( W ) {\displaystyle