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Associated Lie algebras and graded contractions of the Pauli graded \({\mathfrak {sl}}(3,\mathbb C)\). (English) Zbl 1154.17306

The authors determine the graded contractions of the eight-dimensional Lie algebra \(A_2=\mathfrak{sl}(3,\mathbb C)\) for its \(\mathbb Z_3\times \mathbb Z_3\)-Pauli)-grading using – in addition to the usual tools – some special cases of generalized derivations, introduced by Leger and Luks, to decide which of their resulting Lie algebras are equivalent.

MSC:

17B70 Graded Lie (super)algebras
17B05 Structure theory for Lie algebras and superalgebras
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