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hal-00004069, version 1

Hopf Structure and Green Ansatzof Deformed Parastatistics Algebras

Boyka Aneva () 1, Todor Popov () 1, 2

Abstract: Deformed parabose and parafermi algebras are revised and endowed with Hopf structure in a natural way. The noncocommutative coproduct allows for construction of parastatistics Fock-like representations, built out of the simplest deformed bose and fermi representations.The construction gives rise to quadratic algebras of deformed anomalous commutation relations which define the generalized Green ansatz.

  • 1:  Institute for Nuclear Research and Nuclear Energy (INRNE)
  • Académie des sciences de Bulgarie
  • 2:  Laboratoire d'informatique de Paris-nord (LIPN)
  • CNRS : UMR7030 – Université Paris XIII - Paris Nord
  • Domain : Physics/Mathematical Physics
 
  • hal-00004069, version 1
  • http://hal.archives-ouvertes.fr/hal-00004069
  • oai:hal.archives-ouvertes.fr:hal-00004069
  • From: Todor Popov <>
  • Submitted on: Tuesday, 25 January 2005 22:29:10
  • Updated on: Tuesday, 25 January 2005 22:39:38