9 research outputs found
A Holstein-Primakoff and Dyson Realizations for the Lie Superalgebra gl(m/n+1)
The known Holstein-Primakoff and Dyson realizations for the Lie algebras
in terms of Bose operators are generalized to the
class of the Lie superalgebras for any and . Formally the
expressions are the same as for , however both Bose and Fermi
operators are involved.Comment: TeX, 7 page
A Holstein-Primakoff and a Dyson realization for the quantum algebra
The known Holstein-Primakoff and Dyson realizations of the Lie algebra
in terms of Bose operators (Okubo S 1975 J. Math. Phys. 16
528) are generalized to the class of the quantum algebras for
any . It is shown how the elements of can be expressed via
pairs of Bose creation and annihilation operators.Comment: 5 pages, Te