English

Graded contractions of g2

Rings and Algebras 2024-06-07 v2

Abstract

Graded contractions of the fine Z23\mathbb{Z}_2^3-grading on the complex exceptional Lie algebra g2\mathfrak{g}_2 are classified up to equivalence and up to strongly equivalence. In particular, a large family of 14-dimensional Lie algebras arise, most of them solvable.

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Cite

@article{arxiv.2307.05308,
  title  = {Graded contractions of g2},
  author = {Cristina Draper and Juana Sanchez Ortega and Thomas Meyer},
  journal= {arXiv preprint arXiv:2307.05308},
  year   = {2024}
}

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50 pages