Abstract:The mathematical group chain of an n g-boson system is SU(9) ::)SO(9) ::)SO(5) XSU 1 (2) XSU 2 (2) U SUa (2) XSU b (2).In this paper, the mathematical basis of this group chain is obtained by using the briefer method and then constructing the states of n g-bosons with good angular momentum.
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