• Corpus ID: 18128282

Isotopic, Genotopic and Hyperstructural Liftings of Lie's Theory and their Isoduals

@article{Santilli1999IsotopicGA,
  title={Isotopic, Genotopic and Hyperstructural Liftings of Lie's Theory and their Isoduals},
  author={Ruggero Maria Santilli},
  journal={arXiv: General Physics},
  year={1999}
}
  • R. Santilli
  • Published 13 February 1999
  • Mathematics
  • arXiv: General Physics
After reviewing the basic role of Lie's theory for the mathematics and physics of this century, we identify its limitations for the treatment of systems beyond the local-differential, Hamiltonian and canonical-unitary conditions of the original conception. We therefore outline three sequential generalized mathematics introduced by the author under the name of iso-, geno- and hyper-mathematics which are based on generalized, Hermitean, non-Hermitean and multi-valued units, respectively. The… 
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In a hyper structure (X,⋆)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs}

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