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Representation models for classical groups and their higher symmetries. (English) Zbl 0594.22007
Élie Cartan et les mathématiques d’aujourd’hui, The mathematical heritage of Elie Cartan, Sémin. Lyon 1984, Astérisque, No.Hors Sér., 117-128 (1985).
Summary: [For the entire collection see Zbl 0573.00010.]
The main results presented in this talk are published with complete proofs in [Funkts. Anal. Prilozh. 18, No.3, 14-31 (1984; Zbl 0556.22003)]. We give also some new results obtained by the authors jointly with V. V. Serganova which clarify the formulations of op. cit. related to supermanifolds.

MSC:
22E46 Semisimple Lie groups and their representations
20G20 Linear algebraic groups over the reals, the complexes, the quaternions
17A70 Superalgebras
81T60 Supersymmetric field theories in quantum mechanics