Irreducible Representations of simple linearly compact n-Lie superalgebras of type W and S

C. BOYALLIAN Y V. MEINARDI

Santa María

Congreso; Coloquio de Álgebras y Representaciones- Quantum 2012; 2014

Departamento de Matemática, Universidad de Santa María

In the present paper we classify all irreducible representations of the simple linearly compact n-Lie superalgebras of type W and S. The classification is based on a bijective correspondence between the representations of the simple linearly compact n-Lie superalgebras of type W and S and the representations of the Lie superalgebras W_{n-1} and S_n respectively, on which some two-sided ideal of their universal enveloping algebra acts trivially.