Demonstrates the only proper right ideal in non-associative algebras, implying a connection to geometry and Hopf algebras.
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.
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J. M. Pérez-Izquierdo (2008) studied this question.
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