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The aim of this paper is to show that the structure of Verma modules with singular highest
weights can be obtained via wall-crossing translation functors in much the same way that …

Let G be a real connected semisimple real Lie group and let be A a connected reductive
subgroup g, a the complexified Lie algebras of G and A respectively; assume (g, a) is a …

For every a in I, there exists an element a of I such that a+ a= a+ a= 0. For all a, b in I, a+ b=
b+ a.(Although these properties are expressed most conveniently in the above form for our …

Let g be a complex semisimple Lie algebra, ba Cartan subalgebra, R= l)* the set of non-zero
roots, R+~ R a system of positive roots, B~ R+ a set of simple roots, 9= n+ Ob|-the triangular …

Let G be a real reductive Lie group in Harish-Chandra's category. Suppose further that G is
linear and that every Caftan subgroup H of G is abelian. Let go be the Lie algebra of G, g the …

1.1. In a recent paper Levasseur, Smith and Stafford (hereafter designated as LSS) proved a
very remarkable surjectivity result associated with certain simple highest weight modules …

This is a continuation of work described in Part I and we refer the reader to Part I for a
discussion of the history and interest of the subject [Jo8]. We retain the notation of Part I …