Examples of 'irreducible representations' in a sentence
Meaning of "irreducible representations"
In mathematics and physics, irreducible representations refer to a way of describing the behavior of a mathematical object or physical system. These representations cannot be further decomposed into simpler components and are used to study the properties and symmetries of the object or system
How to use "irreducible representations" in a sentence
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irreducible representations
There are other irreducible representations of degree two.
The first step is to hypothesize the existence of irreducible representations.
The characters of irreducible representations are orthogonal.
Irreducible representations correspond to simple modules.
These are the only irreducible representations.
Irreducible representations of a semidirect product.
We decompose this representation to irreducible representations.
Number of irreducible representations of degree.
There is a similar description for the irreducible representations of GIn.
These irreducible representations correspond to the symmetry of the orbitals involved.
Elementary particles as irreducible representations.
On irreducible representations of.
In terms of realization of irreducible representations.
Its irreducible representations over a field of characteristic zero are also parametrized by the partitions of n.
Reducible and irreducible representations.
See also
This reducible representation is decomposed into the sum of irreducible representations.
Infinite irreducible representations.
A major aim of representation theory is to understand the irreducible representations of groups.
Number of irreducible representations.
Representations of the rotation group into a direct sum of irreducible representations.
Absolutely irreducible representations.
Any representation of a finite group is the block sum of irreducible representations.
Two irreducible representations are isomorphic if and only if they have the same highest weight.
This means that every representation reduces to a direct sum of irreducible representations.
One then shows that two irreducible representations with the same highest weight are isomorphic.
We first examine the representation theory to determine irreducible representations and their powers.
The corresponding irreducible representations are the fundamental representations of the Lie group.
The notion of recoupling requires a consistent choice of isomorphisms corresponding to regrouping of irreducible representations.
The derivation of the irreducible representations of the Lorentz group.
Every representation of the multiplicative group Gm is a direct sum of irreducible representations.
Recall that all irreducible representations of abelian groups are one-dimensional.
This sum can help narrow down the dimensions of the irreducible representations in a character table.
All irreducible representations are weakly contained in the left regular representation λ on L2G.
In this case, it suffices to understand only the irreducible representations.
Thus, the number of irreducible representations equals the number of conjugacy classes,.
A representation is called isotypic, if it is a direct sum of isomorphic, irreducible representations.
If two finite-dimensional irreducible representations have the same highest weight, they are isomorphic.
In this situation, a representation need not be a direct sum of irreducible representations.
The irreducible representations of a simply-connected compact Lie group are indexed by their highest weights.
This means that every finite-dimensional representation decomposes as a direct sum of irreducible representations.
The irreducible representations that these span are a1g, t1u and eg.
All Abelian groups have only one-dimensional irreducible representations.
In this case, the irreducible representations are one-dimensional and given by.
In that case, every finite-dimensional representation of K decomposes as a direct sum of irreducible representations.
It follows that the irreducible representations ( m, n ) have real matrix representatives if and only if m n.
It is the SO ( 3 ) - invariant subspaces of the irreducible representations that determine whether a representation has spin.
The irreducible representations of SU ( 3 ) are analyzed in various places, including Hall 's book.
There is a closely related theorem classifying the irreducible representations of a connected compact Lie group K { \ displaystyle K } [ 3 ].
For every unitary irreducible representations Dj there is an equivalent one, D-j-1.
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Examples of using Irreducible
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A character χρ is called irreducible or simple if ρ is an irreducible representation
Then is a field if and only if is irreducible over
An irreducible algebraic set is also called a variety
Examples of using Representations
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No other representations or promises made by anyone are permitted
Descriptive categories of the representations on the experience
False representations or concealment of reality in reporting documentation
