Journal of Lie Theory

no. 1
Nilpotent Orbits of Kac-Moody Algebras and Their Parameterization for sln(1)(C)
Journal of Lie Theory, Volume 32 (2022) no. 1, pp. 139-156
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 $\mathfrak{sl}_n^{(1)}(\mathbb C)$.
DOI: 10.5802/jolt.1223
Classification: 17B67
Keywords: Nilpotent Orbits, Kac Moody algebras, Kac Moody groups 
@article{JOLT_2022_32_1_a6,
     author = {E. Galina and L. 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},
     doi = {10.5802/jolt.1223},
     zbl = {1490.17028},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1223/}
}
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%A E. Galina
%A L. Valencia
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E. Galina; L. Valencia. Nilpotent Orbits of Kac-Moody Algebras and Their Parameterization for sln(1)(C). Journal of Lie Theory, Volume 32 (2022) no. 1, pp. 139-156. doi: 10.5802/jolt.1223

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