Simple Lie algebras, algebraic prolongations and contact structures

Doctoral thesis OPEN
Bucicovschi, Orest;
  • Publisher: eScholarship, University of California
  • Subject: UCSD Mathematics. (Discipline) Dissertations, Academic

The story starts with the result of Mukai that every complex simple finite dimensional Lie algebra has a faithful realization as a subalgebra of an algebra of polynomials with the Legendre bracket. Every such realization is determined by a unique polynomial of degree 4.... View more
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