The Dynkin Theorem for Multilinear Lie Elements
Journal of Lie Theory, Volume 23 (2013) no. 3, pp. 795-801
We establish a generalization of the Dynkin theorem for multilinear elements. It allows us to construct the presentation of a multilinear Lie element as a linear combination of base Lie elements.
DOI: 10.5802/jolt.750
Classification: 17B01, 05E99, 05A30
Keywords: Dynkin idempotent, Lie elements, Free Lie algebra
@article{JOLT_2013_23_3_a10,
     author = {A. Dzhumadil'daev},
     title = {The {Dynkin} {Theorem} for {Multilinear} {Lie} {Elements}},
     journal = {Journal of Lie Theory},
     pages = {795--801},
     year = {2013},
     volume = {23},
     number = {3},
     doi = {10.5802/jolt.750},
     zbl = {1303.17010},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.750/}
}
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A. Dzhumadil'daev. The Dynkin Theorem for Multilinear Lie Elements. Journal of Lie Theory, Volume 23 (2013) no. 3, pp. 795-801. doi: 10.5802/jolt.750

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