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Rigid current Lie algebras

环与代数 2007-05-23 v1

摘要

A current Lie algebra is contructed from a tensor product of a Lie algebra and a commutative associative algebra of dimension greater than 2. In this work we are interested in deformations of such algebras and in the problem of rigidity. In particular we prove that a current Lie algebra is rigid if it is isomorphic to a direct product gxg...xg where g is a rigid Lie algebra.

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引用

@article{arxiv.math/0610478,
  title  = {Rigid current Lie algebras},
  author = {Michel Goze and Elisabeth Remm},
  journal= {arXiv preprint arXiv:math/0610478},
  year   = {2007}
}

备注

9 pages