|
The Isotypic component of weight of a Lie algebra module is the sum of all submodules which are isomorphic to the highest weight module with weight . ==Definition== * A finite-dimensional module of a reductive Lie algebra (or of the corresponding Lie group) can be decomposed into irreducible submodules :. * Each finite-dimensional irreducible representation of is uniquely identified (up to isomorphism) by its highest weight :, where denotes the highest weight module with highest weight . * In the decomposition of , a certain isomorphism class might appear more than once, hence :. This defines the isotypic component of weight of V: where is maximal. 抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Isotypic component」の詳細全文を読む スポンサード リンク
|