On boson algebras as Hopf algebras
q-alg
2009-10-30 v1 Quantum Algebra
Abstract
Certain types of generalized undeformed and deformed boson algebras which admit a Hopf algebra structure are introduced, together with their Fock-type representations and their corresponding -matrices. It is also shown that a class of generalized Heisenberg algebras including those algebras including those underlying physical models such as that of Calogero-Sutherland, is isomorphic with one of the types of boson algebra proposed, and can be formulated as a Hopf algebra.
Keywords
Cite
@article{arxiv.q-alg/9611013,
title = {On boson algebras as Hopf algebras},
author = {I Tsohantjis and A Paolucci and P D Jarvis},
journal= {arXiv preprint arXiv:q-alg/9611013},
year = {2009}
}
Comments
LaTex, 18 pages