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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. Gubarevab, P. S. Kolesnikovba

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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