Hopf Structure and Green Ansatzof Deformed Parastatistics Algebras

Boyka Aneva (1) , Todor Popov (1, 2)

1 INRNE - Institute for Nuclear Research and Nuclear Energy
2 LIPN - Laboratoire d'Informatique de Paris-Nord

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.

Domaines: Physique mathématique [math-ph]

Boyka Aneva, Todor Popov. Hopf Structure and Green Ansatzof Deformed Parastatistics Algebras. 2005. ⟨hal-00004069⟩