irreducible representation

collocation in English

meaningsofirreducibleandrepresentation

These words are often used together. Click on the links below to explore the meanings. Or,see other collocations withrepresentation.
irreducible
adjective
uk
/ˌɪr.ɪˈdʒuː.sə.bəl/us
/ˌɪr.əˈduː.sə.bəl/
impossible to make smaller ...
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representation
noun
uk
/ˌrep.rɪ.zenˈteɪ.ʃən/us
/ˌrep.rɪ.zenˈteɪ.ʃən/
a person or organization that speaks, acts, or is present officially for ...
See more atrepresentation

(Definition ofirreducibleandrepresentationfrom theCambridge English Dictionary© Cambridge University Press)

Examplesofirreducible representation

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The final symmetry-labeled atomic orbital is now known as anirreduciblerepresentation.
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Any non-zero vector of anirreduciblerepresentationis cyclic.
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The corresponding linear representation over the complex numbers is the sum of the trivial representation and a 23-dimensionalirreduciblerepresentation.
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We know that anyirreduciblerepresentationcan be turned into a unitary representation.
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The permutation representation on 11 points gives a complexirreduciblerepresentationin 10 dimensions.
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This action is irreducible and is the unique suchirreduciblerepresentationof these relations.
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If the molecule possesses symmetries, it will belong to a point group, and the normal modes will transform as anirreduciblerepresentationunder that group.
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The normal modes can then be qualitatively determined by applying group theory and projecting theirreduciblerepresentationonto the cartesian coordinates.
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It is therefore wrong to equate post-modernism with humanistic sociology, which above all seeks anirreduciblerepresentationof the human world.
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The table itself consists of characters that represent how a particularirreduciblerepresentationtransforms when a particular symmetry operation is applied.
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Rather, one requires a core whose symmetry group admits a two-dimensionalirreduciblerepresentation.
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Everyirreduciblerepresentationof su (2) is isomorphic to one of the highest weight representations.
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There exist non-isomorphicirreduciblerepresentationof dimensions 1903725824, 16349520330, etc.
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The alternating groups for have only one one-dimensionalirreduciblerepresentation, the trivial representation.
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Rules for decomposing the restriction of anirreduciblerepresentationinto irreducible representations of the subgroup are called branching rules, and have important applications in physics.
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Solutions that do not belong to theirreduciblerepresentationwill have two or more "independent" components.
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Restricted to the secondirreduciblerepresentation, it gives an intertwiner from the secondirreduciblerepresentationto the first.
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However, anirreduciblerepresentationof may not be irreducible for.
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We implicitly assume thatirreduciblerepresentationmeans "non-null"irreduciblerepresentation, thus excluding trivial (i.e. identically 0) representations on one-dimensional spaces.
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The representation obtained from anirreduciblerepresentationdefined over the integers by reducing modulo the characteristic will not in general be irreducible.
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These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
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