- Lie ring
- мат. кольцо Ли
English-russian dictionary of physics. 2013.
Lie ring
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Lie ring — In mathematics a Lie ring is a structure related to Lie algebras that can arise as a generalisation of Lie algebras, or through the study of the lower central series of groups. Formal definition A Lie ring is defined as a nonassociative ring with … Wikipedia
Ring (mathematics) — This article is about algebraic structures. For geometric rings, see Annulus (mathematics). For the set theory concept, see Ring of sets. Polynomials, represented here by curves, form a ring under addition and multiplication. In mathematics, a… … Wikipedia
Lie-Algebren — Lie Algebra berührt die Spezialgebiete Mathematik Lineare Algebra Lie Gruppen Physik Eichtheorie ist Spezialfall von Vektorraum … Deutsch Wikipedia
Lie-Unteralgebra — Lie Algebra berührt die Spezialgebiete Mathematik Lineare Algebra Lie Gruppen Physik Eichtheorie ist Spezialfall von Vektorraum … Deutsch Wikipedia
Lie group — Lie groups … Wikipedia
Lie-Algebra — [nach M. S. Lie], liesche Algebra, ein hyperkomplexes System (Algebra) LR, für das die Multiplikation nicht assoziativ ist. Stattdessen sollen folgende Gesetzmäßigkeiten gelten (das Produkt von … Universal-Lexikon
Lie-Algebra — Eine Lie Algebra, benannt nach Sophus Lie, ist eine algebraische Struktur, die hauptsächlich zum Studium geometrischer Objekte wie Lie Gruppen und differenzierbarer Mannigfaltigkeiten eingesetzt wird. Inhaltsverzeichnis 1 Definition 2 Beispiele 2 … Deutsch Wikipedia
Lie superalgebra — In mathematics, a Lie superalgebra is a generalisation of a Lie algebra to include a Z2 grading. Lie superalgebras are important in theoretical physics where they are used to describe the mathematics of supersymmetry. In most of these theories,… … Wikipedia
Lie algebra cohomology — In mathematics, Lie algebra cohomology is a cohomology theory for Lie algebras. It was defined by Chevalley and Eilenberg (1948) in order to give an algebraic construction of the cohomology of the underlying topological spaces of compact Lie … Wikipedia
Ring theory — In abstract algebra, ring theory is the study of rings algebraic structures in which addition and multiplication are defined and have similar properties to those familiar from the integers. Ring theory studies the structure of rings, their… … Wikipedia
Ring Trilogy — The Ring Trilogy is a series of novels by Koji Suzuki: Ringu ( Ring , 1991), Rasen ( Spiral , 1995) and Rupu ( Loop , 1998). Suzuki also wrote a collection of short stories, The Birthday (1999).Relationship to filmsThe Spiral film of 1998 was an… … Wikipedia
