Reduction of Lie-Jordan algebras: Quantum Articles uri icon

publication date

  • May 2013

start page

  • 117

end page

  • 125


  • 3


  • 36C

International Standard Serial Number (ISSN)

  • 2037-4909

Electronic International Standard Serial Number (EISSN)

  • 1826-9885


  • In this paper we present a theory of reduction of quantum systems in the presence of symmetries and constraints. The language used is that of Lie-Jordan Banach algebras, which are discussed in some detail together with spectrum properties and the space of states. The reduced Lie-Jordan Banach algebra is characterized together with the Dirac states on the physical algebra of observables.


  • lie algebras; quantum theory