Jordan-Lie inner ideals of finite dimensional associative algebras
classification
🧮 math.RA
keywords
algebrasidealsinnerjordan-lieassociativedimensionalfinitethey
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We study Jordan-Lie inner ideals of finite dimensional associative algebras and the corresponding Lie algebras and prove that they admit Levi decompositions. Moreover, we classify Jordan-Lie inner ideals satisfying a certain minimality condition and show that they are generated by pairs of idempotents.
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