highest weight of representation

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• Weight (representation theory) — In the mathematical field of representation theory, a weight of an algebra A over a field F is an algebra homomorphism from A to F, or equivalently, a one dimensional representation of A over F. It is the algebra analogue of a multiplicative… …   Wikipedia

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• Fundamental representation — In representation theory of Lie groups and Lie algebras, a fundamental representation is an irreducible finite dimensional representation of a semisimple Lie groupor Lie algebra whose highest weight is a fundamental weight. For example, the… …   Wikipedia

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