Injective Hulls of Simple Modules Over Nilpotent Lie Color Algebras

Can Hatipoglu

Injective Hulls of Simple Modules Over Nilpotent Lie Color Algebras

Rings and Algebras 2016-03-31 v2

Authors: Can Hatipoglu

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.

Keywords

Lie color algebras injective hulls simple modules nilpotent algebras enveloping algebras cocycle twists graded algebras

Cite

@article{arxiv.1411.1512,
  title  = {Injective Hulls of Simple Modules Over Nilpotent Lie Color Algebras},
  author = {Can Hatipoglu},
  journal= {arXiv preprint arXiv:1411.1512},
  year   = {2016}
}

Comments

A section on gradings on finite dimensional nilpotent Lie algebras of almost maximal index has been added and some minor changes have been made

Injective Hulls of Simple Modules Over Nilpotent Lie Color Algebras

Abstract

Keywords

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