Fundamental weight ( $ω_{i}$ )

The fundamental weights are dual to the simple coroots:

⟨ ω_{i}, α_{j}^{\lor} ⟩ = δ_{ij}

.

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- Fundamental representation Fundamental weight

Fundamental representation

The fundamental representation associated with a fundamental weight

ω_{i}

is the irreducible highest-weight representation

V (ω_{i})

.

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