Geodesic
Simple associative $\Gamma$-conformal algebras of finite type for a torsion-free group $\Gamma$
Algebra i logika, Tome 52 (2013) no. 5, pp. 559-581

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
Mots-clés : pseudoalgebra, conformal algebra, $\Gamma$-conformal algebra
Keywords: Wedderburn's theorem, partial Abelian algebra. 
@article{AL_2013_52_5_a2,
     author = {V. Yu. Gubarev},
     title = {Simple associative $\Gamma$-conformal algebras of finite type for a~torsion-free group~$\Gamma$},
     journal = {Algebra i logika},
     pages = {559--581},
     publisher = {mathdoc},
     volume = {52},
     number = {5},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2013_52_5_a2/}
}
TY  - JOUR
AU  - V. Yu. Gubarev
TI  - Simple associative $\Gamma$-conformal algebras of finite type for a torsion-free group $\Gamma$
JO  - Algebra i logika
PY  - 2013
SP  - 559
EP  - 581
VL  - 52
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/AL_2013_52_5_a2/
LA  - ru
ID  - AL_2013_52_5_a2
ER  - 
%0 Journal Article
%A V. Yu. Gubarev
%T Simple associative $\Gamma$-conformal algebras of finite type for a torsion-free group $\Gamma$
%J Algebra i logika
%D 2013
%P 559-581
%V 52
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/AL_2013_52_5_a2/
%G ru
%F AL_2013_52_5_a2
V. Yu. Gubarev. Simple associative $\Gamma$-conformal algebras of finite type for a torsion-free group $\Gamma$. Algebra i logika, Tome 52 (2013) no. 5, pp. 559-581. http://geodesic.mathdoc.fr/item/AL_2013_52_5_a2/