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

2001/11/01 by Dong Ruan, Yufeng Jia, Jia Yufeng +5
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Physical sciences #Nonlinear Waves and Solitons #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0111007

8 pages, LaTex

arxiv created 2001/11/01 · openalex publication_date 2001/11/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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)).

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