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Home > english-french > "fundamental representation" in French

French translation for "fundamental representation"

représentation fondamentale
Example Sentences:
1.Its fundamental representation is 26-dimensional.
Sa représentation fondamentale est de dimension 26.
2.It is usually the case that the two charge-conjugate representations are complex conjugate fundamental representations of the Lie group.
C'est habituellement le cas lorsque deux représentations de conjugaisons de charges sont des représentations fondamentales du groupe de Lie.
3.Thus, a common example is that the product of two charge-conjugate fundamental representations of SL(2,C) (the spinors) forms the adjoint rep of the Lorentz group SO(3,1); abstractly, one writes 2 ⊗ 2 ¯ = 3 ⊕ 1. {\displaystyle 2\otimes {\overline {2}}=3\oplus 1.\ } That is, the product of two (Lorentz) spinors is a (Lorentz) vector and a (Lorentz) scalar.
Ainsi, un exemple courant est le produit de deux représentations fondamentales de conjugaison de charge de SL(2,C) (les spineurs) qui forment l'adjoint du groupe de Lorentz SO(3,1) ; on écrit de façon abstraite : 2 ⊗ 2 ¯ = 3 ⊕ 1.
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