V. Yu. Gubarev, P. S. Kolesnikov, “$\Gamma$-conformal algebras of finite type for torsion-free group $\Gamma$”, Sib. Èlektron. Mat. Izv., 11 (2014), 759

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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2014, Volume 11, Pages 759–770 (Mi semr521)

Mathematical logic, algebra and number theory

$\Gamma$ -conformal algebras of finite type for torsion-free group

$\Gamma$

V. Yu. Gubarev^ab, P. S. Kolesnikov^ba

^a Novosibirsk State University
^b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

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Abstract: We investigate the structure of

$\Gamma$ -conformal algebras which are discrete analogues of conformal algebras in sense of V. G. Kac. Simple and semisimple Lie

$\Gamma$ -conformal algebras of finite type in zero characteristic for torsion-free group

$\Gamma$ are classified.

Keywords: conformal algebra,

$\Gamma$ -conformal algebra, finitary algebra.

Received September 1, 2014, published October 14, 2014

Document Type: Article

UDC: 512.554.3

MSC: 17B69

Language: Russian

Citation: V. Yu. Gubarev, P. S. Kolesnikov, “

$\Gamma$ -conformal algebras of finite type for torsion-free group

$\Gamma$ ”, Sib. Èlektron. Mat. Izv., 11 (2014), 759–770

Citation in format AMSBIB

\Bibitem{GubKol14}

\by V.~Yu.~Gubarev, P.~S.~Kolesnikov

\paper $\Gamma$-conformal algebras of finite type for torsion-free group $\Gamma$

\jour Sib. \`Elektron. Mat. Izv.

\yr 2014

\vol 11

\pages 759--770

\mathnet{http://mi.mathnet.ru/semr521}

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https://www.mathnet.ru/eng/semr/v11/p759

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