naturally reductive space

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• Reductive dual pair — In the mathematical field of representation theory, a reductive dual pair is a pair of subgroups (G,G ′) of the isometry group Sp(W) of a symplectic vector space W, such that G is the centralizer of G ′ in Sp(W) and vice versa, and these groups… …   Wikipedia

• Ilka Agricola — (* 8. August 1973 in Den Haag) ist eine deutsche Mathematikerin, die sich mit Differentialgeometrie und deren Anwendungen in der mathematischen Physik beschäftigt. Inhaltsverzeichnis 1 Leben und Wirken 2 Schriften 3 Bücher …   Deutsch Wikipedia

• Gelfand pair — In mathematics, the expression Gelfand pair refers to a pair ( G ,  K ) consisting of a group G and a subgroup K that satisfies a certain property on restricted representations.When G is a finite group the simplest definition is, roughly speaking …   Wikipedia

• Dualism (philosophy of mind) — René Descartes s illustration of dualism. Inputs are passed on by the sensory organs to the epiphysis in the brain and from there to the immaterial spirit. In philosophy of mind, dualism is a set of views about the relationship between mind and… …   Wikipedia

• Abiogenesis — Primordial soup redirects here. For the board game, see Primordial Soup (board game). Origin of life redirects here. For views on the origins of life outside the natural sciences, see Creation myth. Pre Cambrian stromatolites in the Siyeh… …   Wikipedia

• Cartan 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 …   Wikipedia

• Klein geometry — In mathematics, a Klein geometry is a type of geometry motivated by Felix Klein in his influential Erlangen program. More specifically, it is a homogeneous space X together with a transitive action on X by a Lie group G , which acts as the… …   Wikipedia

• Seventeenth-century materialism: Gassendi and Hobbes — T.Sorell In the English speaking world Pierre Gassendi is probably best known as the author of a set of Objections to Descartes’s Meditations. These Objections, the fifth of seven sets collected by Mersenne, are relatively long and full, and… …   History of philosophy

• Zonal spherical function — In mathematics, a zonal spherical function or often just spherical function is a function on a locally compact group G with compact subgroup K (often a maximal compact subgroup) that arises as the matrix coefficient of a K invariant vector in an… …   Wikipedia

• metaphysics — /met euh fiz iks/, n. (used with a sing. v.) 1. the branch of philosophy that treats of first principles, includes ontology and cosmology, and is intimately connected with epistemology. 2. philosophy, esp. in its more abstruse branches. 3. the… …   Universalium

• science, philosophy of — Branch of philosophy that attempts to elucidate the nature of scientific inquiry observational procedures, patterns of argument, methods of representation and calculation, metaphysical presuppositions and evaluate the grounds of their validity… …   Universalium