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Algebra i logika, 2013, Volume 52, Number 5, Pages 559–581 (Mi al603)  
This article is cited in 1 scientific paper (total in 1 paper)

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

V. Yu. Gubarev

Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia
Full-text PDF (258 kB) Citations (1)
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Abstract: We study $\Gamma$-conformal algebras which are a discrete analog of conformal algebras in the sense of V. G. Kac. For a torsion-free group $\Gamma$, simple and semisimple associative $\Gamma$-conformal algebras of finite type are described and an analog of Wedderburn's theorem is proved.
Keywords: pseudoalgebra, conformal algebra, $\Gamma$-conformal algebra, Wedderburn's theorem, partial Abelian algebra.
Received: 23.11.2012
Revised: 09.09.2013
English version:
Algebra and Logic, 2013, Volume 52, Issue 5, Pages 371–386
DOI: https://doi.org/10.1007/s10469-013-9249-2
Bibliographic databases:
Document Type: Article
UDC: 512.552
Language: Russian
Citation: V. Yu. Gubarev, “Simple associative $\Gamma$-conformal algebras of finite type for a torsion-free group $\Gamma$”, Algebra Logika, 52:5 (2013), 559–581; Algebra and Logic, 52:5 (2013), 371–386
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и логика Algebra and Logic
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