Journal of Lie Theory

no. 1
Derivations of Extended Multi-Loop Algebras
Journal of Lie Theory, Volume 29 (2019) no. 1, pp. 247-262
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.
DOI: 10.5802/jolt.1057
Classification: 17B65, 17B40, 17B67, 17B70
Keywords: Derivation, multi-loop algebra, tensor product of algebras 
@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},
     doi = {10.5802/jolt.1057},
     zbl = {1436.17024},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1057/}
}
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S. Azam; G. Behboodi. Derivations of Extended Multi-Loop Algebras. Journal of Lie Theory, Volume 29 (2019) no. 1, pp. 247-262. doi: 10.5802/jolt.1057

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