1Dipartimento di Matematica e Applicazioni, Università di Milano-Bicocca, via Cozzi 53, 20125 Milano, Italy 2Dipartimento di Matematica, Università degli Studi di Trento, via Sommarive 14, 38050 Povo (Trento), Italy
Journal of Lie Theory, Tome 24 (2014) no. 2, pp. 457-473
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.
1
Dipartimento di Matematica e Applicazioni, Università di Milano-Bicocca, via Cozzi 53, 20125 Milano, Italy
2
Dipartimento di Matematica, Università degli Studi di Trento, via Sommarive 14, 38050 Povo (Trento), Italy
Marina Avitabile; Sandro 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/JOLT_2014_24_2_a7/
@article{JOLT_2014_24_2_a7,
author = {Marina Avitabile and Sandro Mattarei},
title = {Nottingham {Lie} {Algebras} with {Diamonds} of {Finite} and {Infinite} {Type}},
journal = {Journal of Lie Theory},
pages = {457--473},
year = {2014},
volume = {24},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JOLT_2014_24_2_a7/}
}
TY - JOUR
AU - Marina Avitabile
AU - Sandro 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
UR - http://geodesic.mathdoc.fr/item/JOLT_2014_24_2_a7/
ID - JOLT_2014_24_2_a7
ER -
%0 Journal Article
%A Marina Avitabile
%A Sandro 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
%U http://geodesic.mathdoc.fr/item/JOLT_2014_24_2_a7/
%F JOLT_2014_24_2_a7
