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Gröbner-Shirshov bases for quantum enveloping algebras

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Abstract

We give a method for finding Gröbner-Shirshov bases for the quantum enveloping algebras of Drinfel’d and Jimbo, show how the methods can be applied to Kac-Moody algebras, and explicitly find the bases for quantum enveloping algebras of typeA N (forq 8≠1).

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Authors and Affiliations

  1. Institute of Mathematics, 630090, Novosibirsk, Russia

    L. Bokut

  2. Department of Mathematics, Wayne State University, 48202, Detroit, MI, USA

    P. Malcolmson

Authors
  1. L. Bokut
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  2. P. Malcolmson
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Corresponding author

Correspondence to L. Bokut.

Additional information

Supported by the Russian Fund of Fundamental Research and the Soros Fund of Fundamental Research. This author wishes to thank the Department of Mathematics of Wayne State University for its hospitality.

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Bokut, L., Malcolmson, P. Gröbner-Shirshov bases for quantum enveloping algebras. Israel J. Math. 96, 97–113 (1996). https://doi.org/10.1007/BF02785535

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  • DOI: https://doi.org/10.1007/BF02785535

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