Centroids of Lie supertriple systems. (English) Zbl 1338.17007
Summary: We derive certain structural results concerning centroids of Lie supertriple systems. Centroids of the tensor product of a Lie supertriple system and a unital commutative associative algebra are studied. Furthermore, the centroid of a tensor product of a simple Lie supertriple system and a polynomial ring is partly determined.
MSC:
| 17A40 | Ternary compositions |
| 17B60 | Lie (super)algebras associated with other structures (associative, Jordan, etc.) |
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