Reduction of Lie-Jordan algebras: Classical Articles uri icon

publication date

  • May 2013

start page

  • 107

end page

  • 115


  • 3


  • 36C

International Standard Serial Number (ISSN)

  • 2037-4909

Electronic International Standard Serial Number (EISSN)

  • 1826-9885


  • In this paper we present a unified algebraic framework to discuss the reduction of classical and quantum systems. The underlying algebraic structure is a Lie-Jordan algebra supplemented, in the quantum case, with a Banach structure. We discuss the reduction by symmetries, by constraints as well as the possible, non trivial, combinations of both. We finally introduce a new, general framework to perform the reduction of physical systems in an algebraic setup.