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- W2034386073 abstract "An inhomogeneous differential realization (IHDR) of Lie superalgebras, which plays an important role in the search for quasi-exactly solvable problems (QESP) of quantum mechanics, is studied. The corresponding inhomogeneous boson–fermion realization (IHBFR) of Lie superalgebras is obtained. By making use of the IHBFR, a new kind of indecomposable and irreducible representations of Lie superalgebras is studied on the universal enveloping algebra of Heisenberg–Weyl superalgebra, and on its subspaces and quotient spaces. The finite dimensional representations of Lie superalgebras are naturally obtained on the subspaces of Fock space. As examples, the IHDR of Lie superalgebra spl(m,1) is given, and the indecomposable and irreducible representations of Lie superalgebra su(2,1) are studied in detail." @default.
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- W2034386073 date "1991-03-01" @default.
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- W2034386073 title "Inhomogeneous differential realization, boson–fermion realization of Lie superalgebras and their indecomposable representations" @default.
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- W2034386073 doi "https://doi.org/10.1063/1.529369" @default.
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