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Twisted yangians and infinite-dimensional classical Lie algebras

  • I. Quantum Groups, Deformation Theory And Representation Theory
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Quantum Groups

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1510))

Abstract

The Yangians are quantized enveloping algebras of polynomial current Lie algebras and twisted Yangians should be their analogs for twisted polynomial current Lie algebras. We define and study certain examples of twisted Yangians and describe their relationship to a problem which arises in representation theory of infinite-dimensional classical groups.

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Authors and Affiliations

  1. Institute of Geography of the USSR Academy of Sciences, Staromonetny 29, 109017, Moscow, Russia

    G. I. Olshanskii

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  1. G. I. Olshanskii
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Petr P. Kulish

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© 1992 Springer-Verlag

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Olshanskii, G.I. (1992). Twisted yangians and infinite-dimensional classical Lie algebras. In: Kulish, P.P. (eds) Quantum Groups. Lecture Notes in Mathematics, vol 1510. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0101183

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  • DOI: https://doi.org/10.1007/BFb0101183

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55305-2

  • Online ISBN: 978-3-540-47020-5

  • eBook Packages: Springer Book Archive

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