Editing Lie superalgebra (section)

==Involution==
A <math>*</math> '''Lie superalgebra''' is a complex Lie superalgebra equipped with an [[Involution (mathematics)|involutive]] [[antilinear]] map from itself to itself which respects the '''Z'''<sub>2</sub> grading and satisfies
[''x'',''y'']<sup>*</sup>&nbsp;=&nbsp;[''y''<sup>*</sup>,''x''<sup>*</sup>] for all ''x'' and ''y'' in the Lie superalgebra. (Some authors prefer the convention [''x'',''y'']<sup>*</sup>&nbsp;=&nbsp;(−1)<sup>|''x''||''y''|</sup>[''y''<sup>*</sup>,''x''<sup>*</sup>]; changing * to −* switches between the two conventions.) Its [[universal enveloping algebra]] would be an ordinary [[star-algebra|<sup>*</sup>-algebra]].