In the context of affine complex Kac-Moody algebras, we define the meaning of nilpotent orbits under the adjoint action of the maximal Kac-Moody group. We also give a parameterization of nilpotent orbits of $\mathfrak{sl}_n^{(1)}(\mathbb C)$.
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FAMAF, CIEM, Universidad Nacional, CONICET, Córdoba, Argentina
Esther Galina; Lorena Valencia. Nilpotent Orbits of Kac-Moody Algebras and Their Parameterization for sln(1)(C). Journal of Lie Theory, Tome 32 (2022) no. 1, pp. 139-156. http://geodesic.mathdoc.fr/item/JOLT_2022_32_1_a6/
@article{JOLT_2022_32_1_a6,
author = {Esther Galina and Lorena Valencia},
title = {Nilpotent {Orbits} of {Kac-Moody} {Algebras} and {Their} {Parameterization} for {sl\protect\textsubscript{n}\protect\textsuperscript{(1)}(C)}},
journal = {Journal of Lie Theory},
pages = {139--156},
year = {2022},
volume = {32},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JOLT_2022_32_1_a6/}
}
TY - JOUR
AU - Esther Galina
AU - Lorena Valencia
TI - Nilpotent Orbits of Kac-Moody Algebras and Their Parameterization for sln(1)(C)
JO - Journal of Lie Theory
PY - 2022
SP - 139
EP - 156
VL - 32
IS - 1
UR - http://geodesic.mathdoc.fr/item/JOLT_2022_32_1_a6/
ID - JOLT_2022_32_1_a6
ER -
%0 Journal Article
%A Esther Galina
%A Lorena Valencia
%T Nilpotent Orbits of Kac-Moody Algebras and Their Parameterization for sln(1)(C)
%J Journal of Lie Theory
%D 2022
%P 139-156
%V 32
%N 1
%U http://geodesic.mathdoc.fr/item/JOLT_2022_32_1_a6/
%F JOLT_2022_32_1_a6
