We study Γ-conformal algebras which are a discrete analog of conformal algebras in the sense of V. G. Kac. For a torsion-free group Γ, simple and semisimple associative Γ- conformal algebras of finite type are described and an analog of Wedderburn’s theorem is proved.
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Supported by RFBR, project No. 12-01-33031.
Translated from Algebra i Logika, Vol. 52, No. 5, pp. 559-581, September-October, 2013.
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Gubarev, V.Y. Simple Associative Γ-Conformal Algebras of Finite Type for a Torsion-Free Group Γ. Algebra Logic 52, 371–386 (2013). https://doi.org/10.1007/s10469-013-9249-2
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DOI: https://doi.org/10.1007/s10469-013-9249-2