X-Nico

unusual facts about Lie-* algebra


Lie-* algebra

In mathematics, a Lie-* algebra is a D-module with a Lie* bracket.


68–95–99.7 rule

In statistics, the 68–95–99.7 rule, also known as the three-sigma rule or empirical rule, states that nearly all values lie within three standard deviations of the mean in a normal distribution.

A Tale of the Ragged Mountains

The unidentified narrator recites the tale as told by Bedloe, delivered after his late return from one of his customary long rambles in the Ragged Mountains, "the chain of wild and dreary hills that lie westward and southward of Charlottesville."

Active contour model

Where G {\sigma} is a Gaussian standard deviation \sigma minima of this functional lie on zero-crossings of

Baumberge

The Baumberge lie within the Münsterland district of Coesfeld running in a northwest to southeast direction between Billerbeck in the west, the Rosendahl villages of Darfeld in the northwest, Havixbeck in the east, Nottuln-Schapdetten in the southeast and Nottuln in the south, Schapdetten being situated on the southeastern slopes of the hills themselves.

Beden

Its shipyards predominantly lie in the northeastern Hafun region of Somalia (notably Bayla), as well as Muscat.

Belvedere Club

The grounds lie partly in Charlevoix Township and partly in Marion Township, in Charlevoix County, Michigan.

Bobby Riggs

Selena Roberts claimed in her book documenting the match, A Necessary Spectacle, that Riggs later undertook a public lie detector test to prove he did not throw the match.

Boone County, Arkansas

Portions of Bull Shoals Lake and Table Rock Lake lie in the northeast and northwest corners, respectively.

Bowie, Arizona

On Interstate 10, Willcox, Arizona at the Willcox Playa lies west-southwest; San Simon, AZ and Road Forks-Lordsburg, New Mexico lie east.

Clan MacLellan

The castle's beginnings lie in the Reformation of 1560 which led to the abandonment of the Convent of Greyfriars which had stood on the site now occupied by the castle since 1449.

Coding theory approaches to nucleic acid design

The elements of the Hadamard exponent matrix lie in the Galois field \mathit{GF(p)}, and its row vectors constitute the codewords of what shall be called a generalized Hadamard code.

Cumnock

There are three neighbouring housing projects which lie just outside the town boundaries, Craigens, Logan and Netherthird, with the former ironworks settlement of Lugar also just outside the town, contributing to a population of around 13,000 in the immediate locale.

Dommartin-Lettrée

The church is to be found in a central position in the village and the Commonwealth war graves of five airmen of the Royal Air Force and two of the Royal Canadian Air Force lie in the churchyard immediately behind the church.

Don't Go Gently

The iTunes download does not include "Give Me a Rocket Pack and Show Me the Moon", but instead is accompanied by two other tracks ("It's Okay to Lie" and "Single Room") recorded live at the City Varieties, Leeds, on September 22, 2005.

East Liverpool, Ohio

Downtown is considered to lie between Ohio State Routes 7/11/39/U.S. Route 30 in the west, College and Walnut Streets in the east, West 2nd Street in the South and Moore and Grant Streets in the North.

Ekhrajiha

His lie though is revealed after some mistakes by Amir and his other friend Bayram (Akbar Abdi).

Éric Serra

Serra composed the music for the new Criss Angel/Cirque Du Soleil show 'Criss Angel: Believe' to open at the Luxor Hotel & Casino in Las Vegas, Nevada, in October 2008.

EXIT Theatre

Notable productions by independent theaters at EXIT Theatre included the world premiere of Babylon Heights by Irvine Welsh (of Trainspotting fame) and Dean Cavanagh, a new authorized translation of No Exit by Jean-Paul Sartre, the premiere of One Big Lie by Liz Duffy Adams, and an incendiary Death of the Last Black Man in the Whole Entire World by Suzan-Lori Parks.

Fort Wayne Mad Ants

In the television series One Tree Hill episode "You've Dug Your Own Grave, Now Lie In It", James Lafferty's character Nathan Scott receives an offer to coach the team.

Green function

Deligne–Lusztig theory (Green function) in the representation theory of finite groups of Lie type.

Guna, India

Towns Shivpuri and Kota are located in north and the cities Vidisha, Bhopal, and Rajgarh lie to the South.the eastern boundary of district define by Sindh river.

Hays Canyon Range

The Surprise Valley with its alkali lakes and the Warner Mountains lie to the west.

Hugh Haughton

Hugh Haughton's research interests lie in twentieth-century Irish literature, modern poetry and poetics in the United Kingdom, United States and Ireland; psychoanalysis and literature; and the literature of nonsense.

Kamburupitiya

Less well-known are the treasure troves of Tourmaline and the garnets that lie below some of the fields.

Königsburg

They lie at a height of 460 metres above sea level on the edge of a wooded plateau and offer a good view of the Wurmberg and the Brocken, the highest mountains in Lower Saxony and the Harz respectively.

Lene Alexandra

She and another woman claimed that they had sex with Robbie Williams, which she later has admitted was a lie.

Lissajous orbit

Lyapunov orbits around a libration point are curved paths that lie entirely in the plane of the two primary bodies.

Lodge Farm

A children's home used to lie on Stroud Avenue (Drum and Bass star Goldie being one of its ex-residents).

Mark Almond

His research interests lie in 19th century and 20th century Central-Eastern Europe; Almond has written a biography of Nicolae and Elena Ceauşescu, a study of Albanian migration, and a study of the Bosnian War in its historical context.

Neil Sheehan

Sheehan eventually completed the book, A Bright Shining Lie: John Paul Vann and America in Vietnam (1988, published by Random House and edited by Robert Loomis).

Nicholson Street, Melbourne

Just to the north lie the Royal Exhibition Building and the Melbourne Museum, both in Carlton Gardens, and St Vincent's Hospital.

Occipital bone

The basioccipital lies in front of the opening, the two exoccipitals lie to either side, and the larger supraoccipital lies to the posterior, and forms at least part of the rear of the cranium.

Pakuranga

Pakuranga covers a series of low ridges and previously swampy flats, now drained, that lie between the Pakuranga Creek and Tamaki River, two estuarial arms of the Hauraki Gulf.

Patriarch Evtimiy Square

The Odeon Cinema lies in the western part of the square and the Bulgartabac headquarters lie to the south of it.

Plœuc-sur-Lié

The Count de La Rivière was the ancestor of Lafayette, who sold his estates at Ploeuc to cover the expenses which fell on him as a result of the American War of Independence.

Pp-wave spacetime

A more general subclass consists of the axisymmetric pp-waves, which in general have a two dimensional Abelian Lie algebra of Killing vector fields.

Red Clay Ramblers

The Red Clay Ramblers continued to perform steadily, including an Off-Broadway production of Sam Shepard's Lie of the Mind in 1985-86.

Rohingya conflict in Western Burma

The Burmese central government refused to grant a separate Muslim state in the Mayu region where two townships (Buthidaung and Maungdaw) lie.

Romer's gap

These new localities may represent a larger fauna, as all lie within a short distance of each other and share many fishes with the nearby and contemporary Foulden fish bed locality (which has not produced tetrapods thus far).

San Luis Mountains

Two mountain ranges, the San Luis in the southwest, and the Cerro Colorado Mountains northwest lie west of the four-mountain sequence of the Tumacacori Highlands-(of adjacent western Santa Cruz County) of the Tumacacori, Atascosa, Pajarito, and the Sierra La Esmeralda mountain ranges.

Santiago Carrillo

His own courageous personal behaviour during the failed coup d'état was remarkable − he was, together with outgoing prime minister Suárez and defence minister Manuel Gutiérrez Mellado, one of the three MPs not to obey the rebels' orders to lie down, choosing to sit and have a cigarette (as shown in the surviving TV footage of that day).

Scheisskopf

In one notable exchange, Mrs Scheisskopf and Yossarian lie in bed on Thanksgiving debating the existence of God.

Skallum

In addition to Reichborn-Kjennerud and Lie, police leaders Egil Olbjørn and Henrik Rogstad were present, in addition to lower-rank police officers and SS members.

The Martian

Of a rather loose construction, its main points of interest lie for today's readers in lively descriptions of "la vie de bohême" and different parts of Paris through the second half of the 19th century, pages on Mechelen in Belgium and Whitby in the 1870s, and its superb illustrations.

The Truth of Lie

The Truth of Lie (Die Wahrheit der Lüge) is a German psycho-thriller directed by Roland Reber.

Unyamwezi

The first Europeans to reach the region were Richard Francis Burton and John Hanning Speke, who had been sponsored by the Royal Geographical Society and the British government to investigate the great Lake Uniamési said by German missionaries to lie in the region and determine if it was the source of the Nile.

Vietnam: The Last Battle

Veteran Robert Muller, interviewed on China Beach, calls the war a lie and talks about his own belief of this soon after his landing there in 1965.

Vulture Mountains

The Arizona transition zone mountain ranges lie north and northeast, just north of Wickenburg, Arizona.

William Messing

In his thesis, Messing elaborated on Grothendieck's 1970 lecture at the International Congress of Mathematicians in Nice on p-divisible groups (Barsotti–Tate groups) that are important in algebraic geometry in prime characteristic, which were introduced in the 1950s by Dieudonné in his study of Lie algebras over fields of finite characteristic.

Wong shadow

Its origins lie in American R&B, surf rock artists like The Ventures, Dick Dale, Exotica, rockabilly and country and western brought over by American and Australian Soldiers serving in Vietnam in the late 1950s and early 60's when on R&R.


see also

Michel Duflo

He introduced the Duflo isomorphism, an isomorphism between the center of the enveloping algebra of a finite-dimensional Lie algebra and the invariants of its symmetric algebra.

Symplectic group

# the normal form (or split form), sp(2n, R), which is the Lie algebra of Sp(2n, R).