Journal of Lie Theory

no. 2
Right Ideals in Non-Associative Universal Enveloping Algebras of Lie Triple Systems
Journal of Lie Theory, Volume 18 (2008) no. 2, pp. 375-382
We prove that the only proper right ideal of the universal enveloping algebra of a finite-dimensional central simple Lie triple system over a field of characteristic zero is its augmentation ideal. This provides new series of infinite-dimensional simple non-associative algebras strongly connected with Hopf algebras and geometry.
DOI: 10.5802/jolt.500
Classification: 17A40
Keywords: Lie triple systems, Sabinin algebras, universal enveloping algebras, nonassociative bialgebras 
@article{JOLT_2008_18_2_a7,
     author = {J. M. P\'erez-Izquierdo},
     title = {Right {Ideals} in {Non-Associative} {Universal} {Enveloping} {Algebras} of {Lie} {Triple} {Systems}},
     journal = {Journal of Lie Theory},
     pages = {375--382},
     year = {2008},
     volume = {18},
     number = {2},
     doi = {10.5802/jolt.500},
     zbl = {1163.17007},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.500/}
}
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J. M. Pérez-Izquierdo. Right Ideals in Non-Associative Universal Enveloping Algebras of Lie Triple Systems. Journal of Lie Theory, Volume 18 (2008) no. 2, pp. 375-382. doi: 10.5802/jolt.500

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