Journal of Lie Theory 32 (2022), No. 1, 139--156
Copyright Heldermann Verlag 2022
Nilpotent Orbits of Kac-Moody Algebras and Their Parameterization for sln(1)(C)
Esther Galina
FAMAF, CIEM, Universidad Nacional, CONICET, Córdoba, Argentina
galina@famaf.unc.edu.ar
Lorena Valencia
FAMAF, CIEM, Universidad Nacional, CONICET, Córdoba, Argentina
lorenavalencia07@gmail.com
[Abstract-pdf]
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 $\mathfrak{sl}_n^{(1)}(\mathbb C)$.
Keywords: Nilpotent Orbits, Kac Moody algebras, Kac Moody groups.
MSC: 17B67.
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