Irreducible continuous representations of the simple linearly compact \(n\)-Lie superalgebra of type \(W\).(English)Zbl 1420.17004
Summary: In the present paper we classify all irreducible continuous representations of the simple linearly compact \(n\)-Lie superalgebra of type \(W\). The classification is based on a bijective correspondence between the continuous representations of the \(n\)-Lie algebras \(W^n\) and continuous representations of the Lie algebra of Cartan type \(W_{n-1}\), on which some two-sided ideal acts trivially.
MSC:
| 17A42 | Other \(n\)-ary compositions \((n \ge 3)\) |
| 17B10 | Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) |
Cite
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