Examples of 'non-abelian' in a sentence
Meaning of "non-abelian"
Non-abelian (adjective): Not satisfying the commutative property, especially in mathematics where non-abelian groups do not follow the rule: a*b is not equal to b*a
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How to use "non-abelian" in a sentence
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non-abelian
All non-abelian simple groups are quasisimple.
It is the smallest finite non-abelian group.
Non-abelian groups are pervasive in mathematics and physics.
This is another infinite non-abelian group.
But non-abelian groups may or may not be solvable.
It is also the smallest possible non-abelian group.
Non-abelian gauge theories are now handled by a variety of means.
I assume you are familiar with non-abelian group theory.
Non-abelian anyonic statistics are higher-dimensional representations of the braid group.
Both discrete groups and continuous groups may be non-abelian.
There are also non-abelian groups generated by rotations around different axes.
Abelian groups are decidable but non-Abelian groups are not.
Hence each non-Abelian finite simple group has order divisible by at least three distinct primes.
This is the condition that fails to hold for non-Abelian gauge groups.
For this behaviour the non-abelian behaviour of the gauge group is essential.
See also
There is not yet an analytic proof of color confinement in any non-abelian gauge theory.
One of the simplest examples of a non-abelian group is the dihedral group of order 6.
A striking property of this state is that emergent excitations braid with non-Abelian statistics.
This is extended to include non-Abelian gauge theory by invoking compact extra dimensions.
The weak interactions are current-current interactions ultimately because they come from a non-Abelian gauge theory.
It is a ten-dimensional non-abelian Lie group of fundamental importance in physics.
Otherwise it is called a Non-Abelian Group.
Non-Abelian particles may allow us to perform fault tolerant quantum computations.
Discover applications of Fourier analysis on finite non-Abelian groups.
It is an open problem whether every non-abelian p-group G has an automorphism of order pp.
Secondly, non-abelian class field theory was launched as part of the Langlands philosophy.
We also present some results on the non-abelian BI action at this order.
The group is thus non-Abelian and degeneracies may be present in the Hamiltonian, as indicated.
A general formulation of the Hamiltonian in non-Abelian Yang-Mills theory is given.
Burnside, A non-Abelian finite simple group has order divisible by at least three distinct primes.
The theory of Abelian groups is decidable, but that of non-Abelian groups is not.
A non-abelian Dedekind group is called a Hamiltonian group.
He also proposed a special class of topological order, non-Abelian quantum Hall states.
He named the non-abelian ones after William Rowan Hamilton, the discoverer of quaternions.
The aim of this work is to generalize this conjecture to non-abelian Galois extensions.
Novelty comes in with non-abelian G and their representations.
The Majorana fermions with their own antiparticles are widely believed to be non-Abelian particles.
The Suzuki groups are the only finite non-abelian simple groups with order not divisible by 3.
In these protocols it would be assumed that G is a non-abelian group.
Let G be a public non-abelian finite group.
Non-abelian groups have a non-trivial inner automorphism group, and possibly also outer automorphisms.
A very interesting example is the simplest non-abelian case ; the Heisenberg group.
Finally, the non-abelian generalization of some results was introduced.
There are also two non-abelian groups.
Here we have non-abelian anyons, which are even fuzzier than normal particles.
In fact, they are usually different in non-abelian groups.
They relate in particular non-Abelian Chern-Simons theories and Deligne-Beilinson cohomology.
However, many orders have no non-abelian groups.
The simplest non-Abelian group is the dihedral group D3, which is of group order six.
Such a system is defined as non-Abelian.
