# REDIRECT Lie algebra

# Vector fields on any smooth manifold M can be thought of as derivations X of the ring of smooth functions on the manifold, and therefore form a Lie algebra under the Lie bracket = XY − YX, because the Lie bracket of any two derivations is a derivation.

# If G is any group acting smoothly on the manifold M, then it acts on the vector fields, and the vector space of vector fields fixed by the group is closed under the Lie bracket and therefore also forms a Lie algebra.

# We apply this construction to the case when the manifold M is the underlying space of a Lie group G, with G acting on G = M by left translations L < sub > g </ sub >( h ) = gh.

# Any tangent vector at the identity of a Lie group can be extended to a left invariant vector field by left translating the tangent vector to other points of the manifold.

# redirect Lie ( disambiguation )

# REDIRECT Lie group

# Lie or commit perjury

# Let Sleeping Corpses Lie ( original title: Non si deve profanare il sonno dei morti ; also known as The Living Dead at Manchester Morgue, Don't Open the Window ) — passed with 2 minutes pre-cut in 1985 ; re-released uncut in 2002

# " The Lie " 1: 19

# the compact form, sp ( n ), which is the Lie algebra of Sp ( n ),

# the algebras, sp ( p, n − p ), which are the Lie algebras of Sp ( p, n − p ), the indefinite signature equivalent to the compact form,

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

# " Sun Don't Lie " – 6: 29

# " On the Lie " – 3: 18

# it is torsion-free, i. e., for any vector fields X and Y we have, where is the Lie bracket of the vector fields X and Y.

# REDIRECT Lie algebra representation

# REDIRECT Representation of a Lie group

# REDIRECT King Lie of Zhou

# REDIRECT Lie superalgebra

Studying projective representations of Lie groups leads one to consider true representations of their central extensions ( see Group extension # Lie groups ).

# Comparisons of mean squares, along with F-tests ... allow testing of a nested sequence of models.

# Closely related to the ANOVA is a linear model fit with coefficient estimates and standard errors.

# Dodecanese ( or Southern Sporades ), with the exclusion of Kastelorizo

# for any formula with one free variable.

# They Do It with Mirrors, or Murder with Mirrors ( 1952 )

# The electrons are never in a single point location, although the probability of interacting with the electron at a single point can be found from the wave function of the electron.

# They burn with a sooty yellow flame because of the high carbon-hydrogen ratio.

# REDIRECT Americans with Disabilities Act of 1990

# REDIRECT Americans with Disabilities Act of 1990

# REDIRECT Americans with Disabilities Act of 1990

# negligently causing bodily injury to another with a deadly weapon.

# De Misericordia et Justitia ( On Mercy and Justice ), a collection of biblical extracts and sayings of Church Fathers with commentary ( an important work for the history of church law and discipline ), which is to be found in the Anecdota of Martène, vol.

# On the Peace with Sparta ( " De Pace ").

# Yoga of the Grothendieck – Riemann – Roch theorem ( K-theory, relation with intersection theory ).

The Falcons finished the 2008 regular season with a record of 11 – 5, and the # 5 seed in the playoffs.

# Museums will work more closely with each other and partners outside the sector ( pp 23 – 26 ).

# It is improbable that Athens would have sent twenty vessels to the aid of the Ionians in 499 BC if at the time she were at war with Aegina.

Between 1980-1985 a few Dutch Hip Hop records had already been released, but in 1986 Dutch rap duo MC Miker G & DJ Sven ( Lucien Witteveen and Sven van Veen ) had a major top 10 hit ( often # 1 ) across Europe with their " Holiday Rap ", which sampled Madonna's " Holiday ".

* Marschall, Rick, Cartoonist PROfiles # 37 ( March 1978 ) interview with Al Capp

# Two assets with identical cash flows do not trade at the same price.

# An asset with a known price in the future does not today trade at its future price discounted at the risk-free interest rate ( or, the asset does not have negligible costs of storage ; as such, for example, this condition holds for grain but not for securities ).

The C # programming language, along with other. NET-languages, has both the unsigned byte ( named ) and the signed byte ( named ), holding values from 0 to 255 and-128 to 127, respectively.

It peaked at # 5 on the Billboard 200, and has been certified with a gold album by the RIAA.

Flatt and Scruggs subsequently cut their own version of the theme ( with Flatt singing ) for Columbia Records ; released as a single, it reached # 44 on Billboard Hot 100 pop music chart and # 1 on the Billboard Hot Country chart ( the lone country chart-topper for the duo ).