On boson algebras as Hopf algebras

Details On boson algebras as Hopf algebras On boson algebras as Hopf algebras

1996-11-13

arxiv.org/abs/q-alg/9611013v1

Mathematics

Quantum Algebra

LaTex, 18 pages

Scientific paper

10.1088/0305-4470/30/11/032

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 $R$-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.

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