Examples of 'irreducible representation' in a sentence
Meaning of "irreducible representation"
irreducible representation: In the context of mathematics or physics, an irreducible representation refers to a mathematical object that cannot be reduced or decomposed further. It is often used to analyze symmetries and transformations in various systems
How to use "irreducible representation" in a sentence
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irreducible representation
Each irreducible representation is equivalent to one of these.
A character χρ is called irreducible or simple if ρ is an irreducible representation.
Every irreducible representation of g is of this type.
This is the character of an irreducible representation.
An irreducible representation of G is completely determined by its character.
A character is called irreducible if is an irreducible representation.
This is an irreducible representation.
The most difficult part is the last one ; the construction of a finite-dimensional irreducible representation.
R was an irreducible representation.
The existence of steady-state and hopf bifurcations in each irreducible representation is also proved.
In representation theory, an irreducible representation is a nontrivial representation with no nontrivial proper subrepresentations.
Conclusion, For each non-negative integer m { \ displaystyle m }, there is a unique irreducible representation with highest weight m { \ displaystyle m.
However, an irreducible representation of Sn may not be irreducible for Sn - 1.
There remains the problem of describing the irreducible representation with given highest weight.
There is one irreducible representation of SU ( 2 ) for each dimension.
See also
Construction of irreducible representation.
Associate an irreducible representation of SU ( 2 ) to each link of Γ.
The structure analogous to an irreducible representation in the resulting theory is a simple module.
The nth roots of unity form an irreducible representation of any cyclic group of order n.
In characteristic 0, this is an irreducible representation of the symmetric group Sn.
As a simple corollary, every complex irreducible representation of Abelian groups is one-dimensional.
Each individual space is an irreducible representation space of the rotation group SO3.
In particular, the character of each irreducible representation is given by the Weyl character formula.
For polynomials, the result is the irreducible representation of the fraction A / B in ℤ / pℤ [ x ].
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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
