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arXiv · hep-th/9402132

Graded contractions of bilinear invariant forms of Lie algebras

Marc de Montigny
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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 $\Bbb Z_2$-, $\Bbb Z_3$-, and $\Bbb Z_2\otimes\Bbb Z_2$-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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Marc de Montigny. 1994-02-25. Graded contractions of bilinear invariant forms of Lie algebras. https://doi.org/10.1088/0305-4470%2F27%2F13%2F027

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