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arXiv · 1411.1512

Injective Hulls of Simple Modules Over Nilpotent Lie Color Algebras

Can Hatipoglu
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Abstract

Using cocycle twists for associative graded algebras, we characterize finite dimensional nilpotent Lie color algebras $L$ graded by arbitrary abelian groups whose enveloping algebras $U(L)$ have the property that the injective hulls of simple right $U(L)$-modules are locally Artinian. We also collect together results on gradings on Lie algebras arising from this characterization.

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Can Hatipoglu. 2016-03-30. Injective Hulls of Simple Modules Over Nilpotent Lie Color Algebras. https://arxiv.org/abs/1411.1512

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