Weight Space

V_\mu:=\{v\in V; orall h\in\mathfrak{h}\quad  h\cdot v=\mu(h)v\}

Similarly, we can define a weight space

V_\mu

for Representation of a Lie Group resp. an Associative Algebra as
the subspace of Eigenvector s of some maximal Commutative Subgroup resp. Subalgebra of the Eigenvalue

\mu

.

Elements of the weight spaces are called ''weight vectors''.

SEE ALSO

	CATEGORIES ABOUT WEIGHT SPACE

	representation theory of lie algebras

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