Representations Of Sl 2 C The University Of Warwick
Web Any two dimensional Lie algebra that is not abelian is isomorphic to a Lie algebra V with basis fx yg and bracket x y x Hence any two dimensional Lie algebra is not semisimple sl 2 C is a Lie algebra of dimension 3 and is semisimple by Cartan s criterion of semisimplicity In fact sl 2 C is simple
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Representations Of Sl2 Royal Holloway
Web 1 0 f 1 0 0 0 1 0 and note that hh e fi sl2 C Let u v be the canonical basis of E C2 Then each Symd E is irreducible with ud spanning the highest weight space of weight d and up to isomorphism Symd E is the unique irreducible sl2 C module with highest weight d See Exercises 1 1 and 1 2
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PDF Two Loop SL 2 Form Factors And Maximal Transcendentality
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