Examples of 'unitary group' in a sentence
Meaning of "unitary group"
unitary group: A unitary group is a mathematical concept referring to a particular type of group in abstract algebra and group theory
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- For given n, the group of n×n unitary matrices, with the group operation of matrix multiplication.
How to use "unitary group" in a sentence
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unitary group
This is equivalent to the special unitary group description.
The unitary group is a subgroup of the general linear group GL.
Their theory is similar to the case of the unitary group.
Special unitary group.
We prove that the Nijenhuis tensor is irreducible under the action of the unitary group.
Quaternionic unitary group.
The special unitary group is a subgroup of the unitary group, consisting of all unitary matrices.
This construction generalizes the usual construction of the unitary group from the general linear group.
The unitary group is a subgroup of the general linear group GIn, C.
This is the Lie algebra of the unitary group Un.
Properties = = The special unitary group is a real Lie group though not a complex Lie group.
Thus, it can be used to determine the Clebsch-Gordan series for any unitary group.
They are not a unitary group in any ethnic sense, differing linguistically, religiously, and economically.
However, algorithms to produce Clebsch-Gordan coefficients for the special unitary group are known.
The unitary group Un ( R ) is a group preserving a sesquilinear form on a module.
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This matrix subgroup is precisely the special unitary group SU2.
The unitary group is a subgroup of the general linear group GL ( n, C ).
This is an algebraic aspect of Bott periodicity of period 2 for the unitary group.
In modern terms, this presents the special unitary group SU ( 2 ) as a double cover of SO3.
This important model describes collective nuclear states with the help of the unitary group U6.
The unitary group U ( n ) is a real Lie group of dimension n2.
These triples are related to the 2 out of 3 property of the unitary group.
For example, the inclusion from the unitary group U ( n ) to GL ( n, C ) is a homotopy equivalence.
Cartan 's theorem states that Im ( ρ ) must itself be a Lie subgroup in the unitary group.
For the group of unitary matrices with determinant 1, see Special unitary group.
Such matrices form a Lie group called SU ( 2 ) see special unitary group.
A classical group is, roughly speaking, a special linear, orthogonal, symplectic, or unitary group.
Therefore, the circle group is canonically isomorphic to U ( 1 ), the first unitary group.
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