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Standard Bases for the Universal Associative Conformal Envelopes of Kac–Moody Conformal Algebras

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Abstract

We study the universal enveloping associative conformal algebra for the central extension of a current Lie conformal algebra at the locality level N = 3. A standard basis of defining relations for this algebra is explicitly calculated. As a corollary, we find a linear basis of the free commutative conformal algebra relative to the locality N = 3 on the generators.

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Acknowledgements

The work is supported by the Mathematical Center in Akademgorodok (agreement 075-15-2019-1613 with the Ministry of Science and Higher Education of the Russian Federation).

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    P. S. Kolesnikov & R. A. Kozlov

  2. Novosibirsk State University, Novosibirsk, Russia

    R. A. Kozlov

Authors
  1. P. S. Kolesnikov
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  2. R. A. Kozlov
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Correspondence to P. S. Kolesnikov.

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Presented by: Alistair Savage

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The work is supported by Mathematical Center in Akademgorodok.

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Kolesnikov, P.S., Kozlov, R.A. Standard Bases for the Universal Associative Conformal Envelopes of Kac–Moody Conformal Algebras. Algebr Represent Theor 25, 847–867 (2022). https://doi.org/10.1007/s10468-021-10050-0

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