right-invariant

  • 21Cartan connection — In the mathematical field of differential geometry, a Cartan connection is a flexible generalization of the notion of an affine connection. It may also be regarded as a specialization of the general concept of a principal connection, in which the …

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  • 22Prior probability — Bayesian statistics Theory Bayesian probability Probability interpretations Bayes theorem Bayes rule · Bayes factor Bayesian inference Bayesian network Prior · Posterior · Likelihood …

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  • 23Universal enveloping algebra — In mathematics, for any Lie algebra L one can construct its universal enveloping algebra U ( L ). This construction passes from the non associative structure L to a (more familiar, and possibly easier to handle) unital associative algebra which… …

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  • 24Anosov diffeomorphism — In mathematics, more particularly in the fields of dynamical systems and geometric topology, an Anosov map on a manifold M is a certain type of mapping, from M to itself, with rather clearly marked local directions of expansion and contraction .… …

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  • 25Lie algebroid — In mathematics, Lie algebroids serve the same role in the theory of Lie groupoids that Lie algebras serve in the theory of Lie groups: reducing global problems to infinitesimal ones. Just as a Lie groupoid can be thought of as a Lie group with… …

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  • 26Lattice (group) — A lattice in the Euclidean plane. In mathematics, especially in geometry and group theory, a lattice in Rn is a discrete subgroup of Rn which spans the real vector space Rn. Every lattice in Rn …

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  • 27Double coset — In mathematics, an (H,K) double coset in G, where G is a group and H and K are subgroups of G, is an equivalence class for the equivalence relation defined on G by x y if there are h in H and k in K with hxk = y. Then each double coset is of form …

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  • 28Pontryagin duality — In mathematics, in particular in harmonic analysis and the theory of topological groups, Pontryagin duality explains the general properties of the Fourier transform. It places in a unified context a number of observations about functions on the… …

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  • 29Space (mathematics) — This article is about mathematical structures called spaces. For space as a geometric concept, see Euclidean space. For all other uses, see space (disambiguation). A hierarchy of mathematical spaces: The inner product induces a norm. The norm… …

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  • 30Coadjoint representation — In mathematics, the coadjoint representation ρ of a Lie group G is the dual of the adjoint representation. Therefore, if g denotes the Lie algebra of G, it is the action of G on the dual space to g. More geometrically, G acts by conjugation on… …

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