Hopf structure and Green ansatz of deformed parastatistics algebras
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.
- Publication:
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Journal of Physics A Mathematical General
- Pub Date:
- July 2005
- DOI:
- arXiv:
- arXiv:math-ph/0412016
- Bibcode:
- 2005JPhA...38.6473A
- Keywords:
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- Mathematical Physics;
- Mathematics - Mathematical Physics;
- Mathematics - Quantum Algebra
- E-Print:
- 14 pages, final version