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complexified's Usage Examples:

"Fundamental representations and algebraic properties of biquaternions or complexified quaternions", Advances in Applied Clifford Algebras, 21 (3): 1–30, arXiv:1001.

The geometric relation between projective twistor space and complexified compactified Minkowski space is the same as the relation between lines.

} The complexified vector space V ℂ has more structure than an ordinary complex vector space.

structure on M allows a decomposition of the complexified tangent bundle TMC (which is the vector bundle of complexified tangent spaces at each point) into TM+.

} It is then convenient to pass to the complexified Lie algebra s u ( 2 ) + i s u ( 2 ) = s l ( 2 ; C ) {\displaystyle \mathrm.

restriction of the complexified tangent bundle to U {\displaystyle U} .

As such, these vector fields also split the complexified tangent bundle into.

} It generates the center of the universal enveloping algebra of the complexified Lie algebra of SL(2,R).

the same complexification, and we have a complex representation of the complexified Lie algebra, their conjugate representations are still going to be different.

complex distribution L, or in other words a complex subbundle of the complexified tangent bundle C T M = T M ⊗ R C {\displaystyle \mathbb {C} TM=TM\otimes.

projective plane over the complexified Cayley numbers.

Rosenfeld hyperbolic projective plane over the complexified Cayley numbers.

The construction passes through a complexified Clifford algebra to build a Clifford bundle and a spin manifold.

duality transforms a theory with complexified coupling constant τ {\displaystyle \tau } to a theory with complexified constant − 1 / τ {\displaystyle -1/\tau.

Ludwik Silberstein studied a complexified electromagnetic field E + hB, where there are three components, each.

as Euclidean geometry, elliptic geometry or conformal geometry may be complexified, thus embedding the points of the geometry in a complex projective space.

Macfarlane regains associativity for multiplication by reverting to complexified quaternions.

A real Lie algebra is usually complexified enabling analysis in an algebraically closed field.

Mathematically LQG is local gauge theory of the self-dual subgroup of the complexified Lorentz group, which is related to the action of the Lorentz group on.

mathematics, superfunction is a nonstandard name for an iterated function for complexified continuous iteration index.

a subbundle L {\displaystyle L} of the complexified generalized tangent bundle ( T ⊕ T ∗ ) ⊗ C {\displaystyle (\mathbf {T}.

complexified's Meaning':

have or develop complicating consequences