lie also
21Lie bracket of vector fields — See Lie algebra for more on the definition of the Lie bracket and Lie derivative for the derivationIn the mathematical field of differential topology, the Lie bracket of vector fields or Jacobi ndash;Lie bracket is a bilinear differential… …
22Lie, Jonas — (1833 1908) A Norwegian novelist and short story writer, Lie was raised mostly in the northern Norwegian town of Tromsø, where his father was a government official. He later attended school in Bergen and took a law degree at the University of… …
Historical Dictionary of Scandinavian Literature and Theater
23Lie bialgebra — In mathematics, a Lie bialgebra is the Lie theoretic case of a bialgebra: its a set with a Lie algebra and a Lie coalgebra structure which are compatible. It is a bialgebra where the comultiplication is skew symmetric and satisfies a dual Jacobi… …
24lie — 1 /laI/ verb present participle lyingpast tense lay, past participle lain /leIn/ 1 FLAT POSITION a) (intransitive always + adv/prep) to be in a position in which your body is flat on the floor, on a bed etc (+ on/in/there etc): He was lying on… …
25Lie 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 …
26lie — I [[t]la͟ɪ[/t]] POSITION OR SITUATION ♦♦ lies, lying, lay, lain (Please look at category 11 to see if the expression you are looking for is shown under another headword.) 1) VERB If you are lying somewhere, you are in a horizontal position and… …
27Lie, Trygve — born July 16, 1896, Kristiania, Nor. died Dec. 30, 1968, Geilo First secretary general of the United Nations (1946–52). Educated in law at the University of Kristiania (Oslo), Lie was active in the Norwegian Labour Party before being appointed… …
28Lie 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… …
29Lie (disambiguation) — A lie is a type of deception, an untruth.Lie may also refer to: *Lie (surname) *Lie algebra in mathematics * Lie (Dream Theater song) * Lie (song), a song by Black Light Burns *Lie group in mathematics * , an album by Charles Manson *Saint Lie… …
30lie — lie1 W1S2 [laı] v past tense lay [leı] past participle lain [leın] present participle lying third person singular lies ▬▬▬▬▬▬▬ 1¦(flat position)¦ 2¦(exist)¦ 3¦(place)¦ 4¦(future)¦ …
