What does irrep mean?
Definitions for irrep
ir·rep
This dictionary definitions page includes all the possible meanings, example usage and translations of the word irrep.
Wiktionary
irrepnoun
An irreducible representation.
Wikipedia
irrep
In mathematics, specifically in the representation theory of groups and algebras, an irreducible representation ( ρ , V ) {\displaystyle (\rho ,V)} or irrep of an algebraic structure A {\displaystyle A} is a nonzero representation that has no proper nontrivial subrepresentation ( ρ | W , W ) {\displaystyle (\rho |_{W},W)} , with W ⊂ V {\displaystyle W\subset V} closed under the action of { ρ ( a ) : a ∈ A } {\displaystyle \{\rho (a):a\in A\}} . Every finite-dimensional unitary representation on a Hilbert space V {\displaystyle V} is the direct sum of irreducible representations. Irreducible representations are always indecomposable (i.e. cannot be decomposed further into a direct sum of representations), but converse may not hold, e.g. the two-dimensional representation of the real numbers acting by upper triangular unipotent matrices is indecomposable but reducible.
Anagrams for irrep »
prier
riper
Numerology
Chaldean Numerology
The numerical value of irrep in Chaldean Numerology is: 9
Pythagorean Numerology
The numerical value of irrep in Pythagorean Numerology is: 3
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"irrep." Definitions.net. STANDS4 LLC, 2024. Web. 25 Apr. 2024. <https://www.definitions.net/definition/irrep>.
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