Poincare

Poincare is supported in the House by the great nationalistic group which is a fusion of many groups.

The Case for France 1923

Perhaps what Jim meant was, relativity was already being developed in bits and pieces by people such as Poincare and Lorentz.

Conflicting Explanations for Withdrawal of Dover Experts? - The Panda's Thumb 2005

There is a topological result called Poincare duality in algebraic topology, which is that in any n dimensional space a p-dimensional “chain” or cocycle (p — - | out.

A Dark, Misleading Force Sean 2007

(One also says that the Poincare group is the space-time symmetry group of special relativity).

Archive 2009-02-01 Gordon McCabe 2009

Those properties which change under the action of the Poincare group, must be extrinsic properties, and histories which are related by a Poincare transformation are the same intrinsic history.

Archive 2009-02-01 Gordon McCabe 2009

I've learned about the Sassanian Empire, Epistolary Literature and St Hilda from In Our Time I failed to learn much about The Poincare Conjecture from in Our Time, but at least my brain got a workout trying to understand.

A cool Radio 4? What a turn-off | Victoria Coren 2011

Essentially, this is because a particle is represented in quantum theory by a wave-function, a field-like object, and the multitude of possible, locally-varying, intrinsic changes in such an object cannot be cancelled out by the rigid transformations of the Poincare group.

Archive 2009-02-01 Gordon McCabe 2009

Souriau and Cushman-de Vries define an elementary system to be one in which the restricted Poincare group acts transitively upon its 'space of motions', (Structure of Dynamical Systems: A Symplectic View of Physics ‎, p173).

Archive 2009-02-01 Gordon McCabe 2009

Unfortunately, Wigner's irreducible representations are representations upon infinite-dimensional Hilbert spaces, whilst the Poincare group has only 10 dimensions.

Archive 2009-02-01 Gordon McCabe 2009

A group can only act transitively upon a space with the same dimension as the group itself, hence in quantum theory, the restricted Poincare group has many different 'orbits' upon the state spaces of elementary particles.

Archive 2009-02-01 Gordon McCabe 2009