Graded Contractions of Bilinear Invariant Forms of Lie Algebras
نویسنده
چکیده
ABSTRACT. We introduce a new construction of bilinear invariant forms on Lie algebras, based on the method of graded contractions. The general method is described and the Z2-, Z3-, and Z2 ⊗ Z2-contractions are found. The results can be applied to all Lie algebras and superalgebras (finite or infinite dimensional) which admit the chosen gradings. We consider some examples: contractions of the Killing form, toroidal contractions of su(3), and we briefly discuss the limit to new WZW actions.
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