中文

Homogeneous algebras

量子代数 2016-09-07 v1 高能物理 - 理论 数学物理 K理论与同调 math.MP 环与代数

摘要

Various concepts associated with quadratic algebras admit natural generalizations when the quadratic algebras are replaced by graded algebras which are finitely generated in degree 1 with homogeneous relations of degree N. Such algebras are referred to as {\sl homogeneous algebras of degree N}. In particular it is shown that the Koszul complexes of quadratic algebras generalize as N-complexes for homogeneous algebras of degree N.

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引用

@article{arxiv.math/0203035,
  title  = {Homogeneous algebras},
  author = {Roland Berger and Michel Dubois-Violette and Marc Wambst},
  journal= {arXiv preprint arXiv:math/0203035},
  year   = {2016}
}

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24 pages