The Howe duality and Lie superalgebras

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Howe's duality is considered from a unifying point of view based on Lie superalgebras. New examples are offered. In particular, we construct several simplest spinor-oscillator representations and compute their highest weights for the 'stringy' Lie superalgebras (i.e., Lie superalgebras of complex vector fields (or their nontrivial central extensions) on the supercircle $S^{1|n}$ and its two-sheeted cover associated with the Möbius bundle).
27 p., Latex

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Representation Theory, 22E45, 17B (Primary) 11E57, 15A72, 20G05, 22E47 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/63372

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0202181
 http://arxiv.org/abs/math/0202181
 S. Duplij and J. Wess (eds.) Noncommutative structures in mathematics and physics. Proc. NATO Advanced Research Workshop, Kiev, 2000. Kluwer, 93-111

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arXiv