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semisimple eigenvalue

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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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  • Regular representation — In mathematics, and in particular the theory of group representations, the regular representation of a group G is the linear representation afforded by the group action of G on itself. ignificance of the regular representation of a groupTo say… …   Wikipedia

  • Representation theory of SU(2) — In the study of the representation theory of Lie groups, the study of representations of SU(2) is fundamental to the study of representations of semisimple Lie groups. It is the first case of a Lie group that is both a compact group and a non… …   Wikipedia

  • Unipotent — In mathematics, a unipotent element r of a ring R is one such that r − 1 is a nilpotent element, in other words such that some power ( r − 1) n is zero.In particular a square matrix M is a unipotent matrix if and only if its characteristic… …   Wikipedia

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