Inhomogeneous boson realizations of the polynomial angular momentum algebra of arbitrary power

Ruan, Dong; Jia, Yufeng; Sun, Hongzhou

Inhomogeneous boson realizations of the polynomial angular momentum algebra of arbitrary power

Authors

Ruan, Dong

Jia, Yufeng

Sun, Hongzhou

Description

The inhomogeneous single-, two- and three-boson realizations of the more general polynomial angular momentum algebra SU_n(2) are obtained from the Fock representations of SU_n(2) that corresponds to the indecomposable representation on the space of universal enveloping algebra U(SU_n(2)) and to the induced representations on the quotient spaces U(SU_n(2))/I_i, with I_i being some left ideals of U(SU_n(2)).
8 pages, LaTex