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

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...

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Bibliographic Details
Published in:arXiv.org 2001-11
Main Authors: Ruan, Dong, Jia, Yufeng, Sun, Hongzhou
Format: Article
Language:English
Subjects:
Algebra
Angular momentum
Polynomials
Representations
Online Access:Get full text
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Summary: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)).
ISSN:2331-8422