- Levi decomposition
- Математика: разложение Леви
Универсальный англо-русский словарь. Академик.ру. 2011.
Levi decomposition
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Levi decomposition — In Lie theory and representation theory, the Levi decomposition, discovered by Eugenio Elia Levi (1906), states that any finite dimensional real Lie algebra g is (as a vector space) the direct sum of two significant structural parts; namely,… … Wikipedia
Levi (disambiguation) — Levi was, according to the Book of Genesis, the founder of the Israelite Tribe of Levi.Levi may also refer to: * The Laevi, or Levi, a Ligurian people in Gallia Transpadana * Levi II (fl. 3rd century), one of the amoraim * Levi (New Testament),… … Wikipedia
Lie group decomposition — In mathematics, Lie group decompositions are used to analyse the structure of Lie groups and associated objects, by showing how they are built up out of subgroups. They are essential technical tools in the representation theory of Lie groups and… … Wikipedia
Eugenio Elia Levi — (October 18, 1883 – October 28, 1917) was a mathematician who discovered the Levi decomposition. He was the younger brother of Beppo Levi.References*MathGenealogy|id=67555 * [http://www.torinoscienza.it/accademia/personaggi/apri?obj id=431… … Wikipedia
Paul Levi — (11 March 1883 ndash; 9 February 1930) was a German Communist politician.Fact|date=February 2007 Levi, born in Hechingen into a Jewish middle class family, joined the Social Democratic Party of Germany(SPD) in 1906. There he became part of the… … Wikipedia
List of mathematics articles (L) — NOTOC L L (complexity) L BFGS L² cohomology L function L game L notation L system L theory L Analyse des Infiniment Petits pour l Intelligence des Lignes Courbes L Hôpital s rule L(R) La Géométrie Labeled graph Labelled enumeration theorem Lack… … Wikipedia
Representation theory — This article is about the theory of representations of algebraic structures by linear transformations and matrices. For the more general notion of representations throughout mathematics, see representation (mathematics). Representation theory is… … Wikipedia
Glossary of semisimple groups — This is a glossary for the terminology applied in the mathematical theories of semisimple Lie groups. It also covers terms related to their Lie algebras, their representation theory, and various geometric, algebraic and combinatorial structures… … Wikipedia
Nilradical of a Lie algebra — In algebra, the nilradical of a Lie algebra is a nilpotent ideal, which is as large as possible. The nilradical of a finite dimensional Lie algebra is its maximal nilpotent ideal, which exists because the sum of any two nilpotent ideals is… … Wikipedia
Lie algebra — In mathematics, a Lie algebra is an algebraic structure whose main use is in studying geometric objects such as Lie groups and differentiable manifolds. Lie algebras were introduced to study the concept of infinitesimal transformations. The term… … Wikipedia
Langlands program — The Langlands program is a web of far reaching and influential conjectures that connect number theory and the representation theory of certain groups. It was proposed by Robert Langlands beginning in 1967. Connection with number theory The… … Wikipedia
