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Lie group (8772 bytes)
1: ...ical structures. They were introduced by [[Sophus Lie]] in [[1870]] in order to study symmetries of dif... 3: ... complete list of examples see the [[table of Lie groups]]. 5: == Types of Lie groups == 7: ...vable]], [[nilpotent group|nilpotent]], [[abelian group|abelian]]), their [[connectedness]] (connected or... 11: ...se inverse is also a homomorphism. Isomorphic Lie groups do not need to be distinguished for all practica... Simple Lie group (4638 bytes) 1: [[Category:Lie groups]] 2: ...athematics]], a '''simple Lie group''' is a [[Lie group]] which is 3: ... particular the [[classification of finite simple groups]] depended on a thorough prior knowledge of the ... 5: ... a major extension of the theory of [[compact Lie group]]s (and their representation theory), but to be o... 9: ... It is shown that a simple Lie group has a simple Lie algebra that will occur on the list given there, ... Lie group decompositions (1695 bytes) 1: [[Category:Lie groups]] 3: ...ated [[homogeneous space]]s. Since the use of Lie group methods became one of the standard techniques in ... 5: ... applied to Lie groups, Lie algebras, [[algebraic group]]s and [[p-adic number]] analogues, making it har... 9: ...sions of a [[solvable]] group by a [[semisimple]] group. 11: ...''Iwasawa decomposition'' ''KAN'' of a semisimple group generalises the way a square real matrix can be w... List of Lie group topics (3001 bytes) 1: This is a '''list of [[Lie group]] topics''', by Wikipedia page. 5: *[[General linear group]], [[special linear group]] 6: *[[Unitary group]], [[special unitary group]] 9: *[[Orthogonal group]], [[special orthogonal group]] 10: **[[Rotation group]] = [[SO(3)]] Lie (12421 bytes) 1: ...falsehoods. For other meanings of this word see [[Lie (disambiguation)]].'' 3: ...lie, and especially a person who habitually tells lies, is a '''liar'''. 7: ...ilosophy|philosopers]] are divided over whether a lie is ever allowable but are generally opposed - [[P... 11: ...e moderated by the importance of the matter being lied about. 13: ...based on choosing some very large but comfortable lie which is hard to challenge for social status or o... Lie Zi (682 bytes) 1: '''Lie Zi''' or '''Lieh Tzu''' is a famous legendary [[Taoist]] sage men... 3: The Taoist compilation text known as the ''Lie Zi'' is attributed to this name and was inscribed... 6: * ''The Book of Lieh-tzǔ: A Classic of Tao'' translated by A.C. ... 12: [[fr:Lie Zi]] Élie Ducommun (1346 bytes) 1: ...alism. His keen organizational skills ensured the group's success. He was awarded in the Nobel Peace Priz... 5: ...//www.nobel-winners.com/Peace/elie_ducommun.html Elie Ducommun Bio] 7: [[Category:1833 births|Ducommun, Élie]] 8: [[Category:1906 deaths|Ducommun, Élie]] 9: [[Category:Nobel Peace Prize winners|Ducommun, Élie]] Sophus Lie (980 bytes) 1: ...ture of what we today, in honour of Lie, call a [[Lie algebra]]. 3: [[Category:1842 births|Lie, Sophus]] 4: [[Category:1899 deaths|Lie, Sophus]] 5: [[Category:Norwegian mathematicians|Lie, Marius Sophus]] 7: [[de:Sophus Lie]] Lie superalgebra (3148 bytes) 1: ...is a kind of generalisation of a [[Lie algebra]]. Lie superalgebras are important in theoretical [[phys... 3: ...bra]] which is the graded version of a ordinary [[Lie algebra]]. The product map is written as <math>[\... 5: [[Image:Liealgebra.png]] 7: ... product [·, ·], called the '''Lie superbracket''' or '''supercommutator''', satisfi... 16: ... the superbracket are exactly those on the normal Lie bracket with modifications made for the grading. ... Élie Cartan (5025 bytes) 1: ..., who did fundamental work in the theory of [[Lie group]]s and their geometric applications. 3: ... in 1894, he took lecturing positions in [[Montpellier]] and [[Lyon]], becoming a professor in [[Nancy]... 5: ...ptional cases. He also introduced the [[algebraic group]] concept, which was not to be developed seriousl... 7: ...orm]], in the style now used; his approach to Lie groups through the [[Maurer-Cartan equations]] required... 9: With these basics – Lie groups and differential forms – he went on to pro... Jonas Lie (1453 bytes) 1: [[image:jonaslie.jpg|right]] 3: '''Jonas Lauritz Idemil Lie''' ([[November 6]], [[1833]] - [[July 5]], [[1908... 38: * Jonas Lie og hans samtidige 1915 41: *[http://www.dokpro.uio.no/litteratur/lie/ Jonas Lie's texts online] 42: ...p://home.online.no/~shughes/biblio/lie.html Jonas Lie bibliography (in Norwegian)] White lie (840 bytes) 1: A '''white lie''' is an often trivial, diplomatic or well-intent... 2: :''See also: [[lie]]'' 11: ...st_White_Lie_Redux.asp The Jewish Ethicist: White Lie Redux] Élie Halévy (3694 bytes) 1: ...ce|French]] [[philosopher]] and [[historian]] '''Élie Halévy''' ([[September 6]], [[1870]] - [[August 2... 3: ...ather was the playwright [[Ludovic Halévy]], and Élie grew up surrounded by musicians, scholars, and po... Trygve Lie (3759 bytes) 1: {{Infobox UNSecGen | name=Trygve Halvdan Lie 2: | image name=Trygve_Lie_Bio_Photo.jpg 14: '''Trygve Halvdan Lie''' ([[July 16]], [[1896]] - [[December 30]], [[19... 16: ...es]] and his mother, Hulda, ran a boarding house. Lie joined the Labor party in 1911 and was named as ... 18: ...ent was formed by [[Johan Nygaardsvold]] in 1935. Lie would later be named Minister of Trade and Indust... Lie (disambiguation) (755 bytes) 1: Word '''Lie''' can have several meanings: 2: * [[lie]], telling of falsehoods 3: * Lie or lie down also means to rest [[horizontal]]ly on a sur... 4: * LIE is abbreviation for the ''[[Long Island Expresswa... 6: '''Lie''' (pronounced as "Lee") is also a family name; n... Lie derivative (2488 bytes) 1: ...dimensional [[Lie algebra]] with respect to the [[Lie bracket]] defined by 5: ...vatives, in a way directly analogous to the [[Lie group]] theory. 7: ==Lie derivative of tensor fields== 29: ...formalism)|tensor]]. This tensor is called the '''Lie derivative''' of ''T'' with respect to '''A'''. 43: [[es:Derivada de Lie]] Croppies Lie Down (1346 bytes) 1: '''''Croppies Lie Down''''' is an [[Ulster]] [[Protestantism|Protes... 14: :And make all the traitors and croppies lie down. 15: :Down, down, croppies lie down. 21: .../Croppies_lie_down.html Full lyrics to ''Croppies Lie Down''] One Lie Fits All (386 bytes) 1: '''''One Lie Fits All''''' is the third album from [[One Minut... Lie-to-children (2553 bytes) 1: A '''lie-to-children''' is an expression that describes a ... 3: ...eplace it with the truth, or a more sophisticated lie-to-children, which is nearer to the truth. You ca... 5: ==A lie-to-children in physics== 15: ...oming around" and re-affirming the truth of an earlier assertion in the chain. The Sun Don't Lie (417 bytes) 1: '''The Sun Don't Lie''' is an album by [[Marcus Miller]], released in ... 7: # ''The Sun Don't Lie''
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