In mathematics there are four different but related brackets named after Albert Nijenhuis, giving Lie superalgebra structures to various spaces of tensors:

• Frölicher–Nijenhuis bracket (defined on vector valued forms, extending the Lie bracket of vector fields)
• Nijenhuis–Richardson bracket (defined on vector valued forms; this has a different degree to the Frölicher-Nijenhuis bracket)
• Schouten–Nijenhuis bracket (2 versions, defined on either symmetric or antisymmetric multivectors)

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