We develop the notion of "extended multi-loop algebras" and determine their derivation algebras. Extended multi-loop algebras appear naturally as the core modulo center of locally extended affine Lie algebras; they are in fact an extension of n-step multi-loop algebras where the number of automorphisms are allowed to be possibly infinite and also the coordinate algebras (Laurent polynomials) are allowed to be over an infinite number of variables.
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Dept. of Mathematics, University of Isfahan, P.O. Box 81745-163, Isfahan, Iran
S. Azam; G. Behboodi. Derivations of Extended Multi-Loop Algebras. Journal of Lie Theory, Tome 29 (2019) no. 1, pp. 247-262. http://geodesic.mathdoc.fr/item/JOLT_2019_29_1_a11/
@article{JOLT_2019_29_1_a11,
author = {S. Azam and G. Behboodi},
title = {Derivations of {Extended} {Multi-Loop} {Algebras}},
journal = {Journal of Lie Theory},
pages = {247--262},
year = {2019},
volume = {29},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JOLT_2019_29_1_a11/}
}
TY - JOUR
AU - S. Azam
AU - G. Behboodi
TI - Derivations of Extended Multi-Loop Algebras
JO - Journal of Lie Theory
PY - 2019
SP - 247
EP - 262
VL - 29
IS - 1
UR - http://geodesic.mathdoc.fr/item/JOLT_2019_29_1_a11/
ID - JOLT_2019_29_1_a11
ER -
%0 Journal Article
%A S. Azam
%A G. Behboodi
%T Derivations of Extended Multi-Loop Algebras
%J Journal of Lie Theory
%D 2019
%P 247-262
%V 29
%N 1
%U http://geodesic.mathdoc.fr/item/JOLT_2019_29_1_a11/
%F JOLT_2019_29_1_a11
