Abstract
In this paper we study Dynkin gradings on simple Lie algebras arising from nilpotent elements. Specifically, we investigate Abelian subalgebras which are degree 1 homogeneous with respect to these gradings.
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References
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Acknowledgements
The authors are grateful to the referee for highly professional work, including simplifications of proofs and improvements of exposition.
The third named author wishes to thank Daniele Valeri for discussions on generalization of Miura maps, constructed in [2].
The second named author gratefully acknowledges help of the user marmot from tex.stackexchange.com in producing the TE X code that was used to highlight the strictly odd pieces of weighted Dynkin diagrams in the last four tables.
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Elashvili, A., Jibladze, M., Kac, V. (2019). On Dynkin Gradings in Simple Lie Algebras. In: Gorelik, M., Hinich, V., Melnikov, A. (eds) Representations and Nilpotent Orbits of Lie Algebraic Systems. Progress in Mathematics, vol 330. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-23531-4_5
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DOI: https://doi.org/10.1007/978-3-030-23531-4_5
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