中文

Contractions and generalized Casimir invariants

环与代数 2007-05-23 v2

摘要

We prove that if g\frak{g}^{\prime} is a contraction of a Lie algebra g\frak{g} then the number of functionally independent invariants of g\frak{g}^{\prime} is at least that of g\frak{g}. This allows to determine explicitly the number of invariants of Lie algebras carrying a supplementary structure, such as linear contact or linear forms whose differential is symplectic.

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引用

@article{arxiv.math/0111185,
  title  = {Contractions and generalized Casimir invariants},
  author = {Rutwig Campoamor-Stursberg},
  journal= {arXiv preprint arXiv:math/0111185},
  year   = {2007}
}