Geodesic
Nottingham Lie Algebras with Diamonds of Finite and Infinite Type
Journal of Lie theory, Tome 24 (2014) no. 2, pp. 457-473.

Voir la notice de l'article provenant de la source Heldermann Verlag

We consider a class of infinite-dimensional, modular, graded Lie algebras, which includes the graded Lie algebra associated to the Nottingham group with respect to its lower central series. We identify two subclasses of Nottingham Lie algebras as loop algebras of finite-dimensional simple Lie algebras of Hamiltonian Cartan type. A property of Laguerre polynomials of derivations, which is related to toral switching, plays a crucial role in our constructions.
Classification : 17B50, 17B70, 17B65, 17B56
Mots-clés : Modular Lie algebra, graded Lie algebra, thin Lie algebra 
@article{JLT_2014_24_2_JLT_2014_24_2_a7,
     author = {M. Avitabile and S. Mattarei },
     title = {Nottingham {Lie} {Algebras} with {Diamonds} of {Finite} and {Infinite} {Type}},
     journal = {Journal of Lie theory},
     pages = {457--473},
     publisher = {mathdoc},
     volume = {24},
     number = {2},
     year = {2014},
     url = {http://geodesic.mathdoc.fr/item/JLT_2014_24_2_JLT_2014_24_2_a7/}
}
TY  - JOUR
AU  - M. Avitabile
AU  - S. Mattarei 
TI  - Nottingham Lie Algebras with Diamonds of Finite and Infinite Type
JO  - Journal of Lie theory
PY  - 2014
SP  - 457
EP  - 473
VL  - 24
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JLT_2014_24_2_JLT_2014_24_2_a7/
ID  - JLT_2014_24_2_JLT_2014_24_2_a7
ER  - 
%0 Journal Article
%A M. Avitabile
%A S. Mattarei 
%T Nottingham Lie Algebras with Diamonds of Finite and Infinite Type
%J Journal of Lie theory
%D 2014
%P 457-473
%V 24
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JLT_2014_24_2_JLT_2014_24_2_a7/
%F JLT_2014_24_2_JLT_2014_24_2_a7
M. Avitabile; S. Mattarei . Nottingham Lie Algebras with Diamonds of Finite and Infinite Type. Journal of Lie theory, Tome 24 (2014) no. 2, pp. 457-473. http://geodesic.mathdoc.fr/item/JLT_2014_24_2_JLT_2014_24_2_a7/