By Zhang Y.-Z., Gould M.D.
Representations of the non-semisimple superalgebra gls2u2d within the typical basisare investigated via the vector coherent nation procedure and boson-fermionrealization. All finite-dimensional irreducible common and peculiar representationsand lowest weight (indecomposable) Kac modules of gls2u2d are developed explicitlythrough the categorical development of all gls2d % gls2d particle states (multiplets)in phrases of boson and fermion production operators within the super-Fock space.This provides a unified and entire therapy of finite-dimensional representations ofgls2u2d in particular shape, crucial for the development of basic fields of thecorresponding present superalgebra at arbitrary point
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Extra info for A unified and complete construction of all finite dimensional irreducible representations of gl(2 ¦ 2)
Absence of invasive fungal disease at the time of diagnosis or subsequently From the criteria for the diagnosis of AFS listed by deShazo and Swain (58), for these authors absence of atopy, asthma, nasal polyps, elevated IgE levels, and serum fungal precipitins do not exclude the diagnosis of AFS. Furthermore, bilateral involvement of the sinus on x-ray examination does not exclude the diagnosis either. On the basis of immunopathological ﬁndings in ABPA and AFS, Corey et al. (59) concluded that both represent Gell and Coombs type I and type III response.
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A unified and complete construction of all finite dimensional irreducible representations of gl(2 ¦ 2) by Zhang Y.-Z., Gould M.D.