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infinitesimal character

См. также в других словарях:

  • Infinitesimal character — In mathematics, the infinitesimal character of an irreducible representation rho; of a semisimple Lie group G on a vector space V is, roughly speaking, a mapping to scalars that encodes the process of first differentiating and then diagonalizing… …   Wikipedia

  • Character (mathematics) — In mathematics, a character is (most commonly) a special kind of function from a group to a field (such as the complex numbers). There are at least two distinct, but overlapping meanings. Other uses of the word character are almost always… …   Wikipedia

  • Infinitesimal calculus — Gottfried Wilhelm Leibniz (left) and Isaac Newton (right) …   Wikipedia

  • Harish-Chandra character — In mathematics, the Harish Chandra character, named after Harish Chandra, of a representation of a semisimple Lie group G on a Hilbert space H is a distribution on the group G that is analogous to the character of a finite dimensional… …   Wikipedia

  • Kirillov character formula — In mathematics, for a Lie group G, the Kirillov orbit method gives a heuristic method in representation theory. It connects the Fourier transforms of coadjoint orbits, which lie in the dual space of the Lie algebra of G , to the infinitesimal… …   Wikipedia

  • Discrete series representation — In mathematics, a discrete series representation is an irreducible unitary representation of a locally compact topological group G that is a subrepresentation of the left regular representation of G on L²(G). In the Plancherel measure, such… …   Wikipedia

  • Representation theory of SL2(R) — In mathematics, the main results concerning irreducible unitary representations of the Lie group SL2(R) are due to Gelfand and Naimark (1946), V. Bargmann (1947), and Harish Chandra (1952). Structure of the complexified Lie algebra We choose a… …   Wikipedia

  • List of mathematics articles (I) — NOTOC Ia IA automorphism ICER Icosagon Icosahedral 120 cell Icosahedral prism Icosahedral symmetry Icosahedron Icosian Calculus Icosian game Icosidodecadodecahedron Icosidodecahedron Icositetrachoric honeycomb Icositruncated dodecadodecahedron… …   Wikipedia

  • List of representation theory topics — This is a list of representation theory topics, by Wikipedia page. See also list of harmonic analysis topics, which is more directed towards the mathematical analysis aspects of representation theory. Contents 1 General representation theory 2… …   Wikipedia

  • Harish-Chandra — for|the character in Hindu mythology|HarishchandraHarish Chandra (11 October 1923 16 October 1983) was an Indian born American mathematician, who did fundamental work in representation theory, especially Harmonic analysis on semisimple Lie groups …   Wikipedia

  • Gottfried Leibniz — Infobox Philosopher region = Western Philosophy era = 18th century philosophy color = #B0C4DE |250px image caption = Gottfried Wilhelm Leibniz name = Gottfried Wilhelm Leibniz birth = 1 July (21 June Old Style) 1646, Leipzig, Electorate of Saxony …   Wikipedia

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