complexification

Custody is an issue going through this process of modern complexification.

The two circular points have their name because they lie on the complexification of every real circle.

The complexification, which always exists, is unique up to isomorphism.

Over the real numbers, this usually requires using a complexification of the vector representation.

We must attain our independence before this complexification begins.

Lyotard notes that a feature of modern society is its capacity for complexification.

The biquaternions are then the complexification of the original (real) quaternions.

The map f is naturally called the complexification of f.

For the complexification G, the Cartan decomposition is described above.

The complexification of the split-complex numbers is the tessarines.

I only assisted the inevitable complexification of the World Mind that accompanies life's evolution.

Since is the complexification of , like all its derivations are inner and it has trivial center.

All else, life, consciousness, value and so on were consequences of the aggregation and complexification of matter.

He used the word complexification.

(Both are actually complex homogeneous spaces in a canonical way through complexification.)

The theory involving the Immirzi parameter is necessary to resolve an ambiguity in the process of complexification.

The universe's very diversity and complexity begets its further diversification and complexification.

Given any real vector space V we may define its complexification by extension of scalars:

Let G be a simply connected compact Lie group with complexification G.

Alternatively, rather than using tensor products, one can use this direct sum as the definition of the complexification:

It is the complexification of a compact Lie group without center, so a semisimple algebraic group.

Since g is equal to its conjugate it is the complexification of a real form on TM.

For example, given a real vector space, one can produce a complex vector space via complexification.

The complexification of real coordinate space R is complex coordinate space C.

If the original group is linear, so too is the universal complexification and the homomorphism between the two is an inclusion.