Let 9 be a complex semisimple Lie algebra. In ([8], Prop. 12) Duflo gave a remarkable sum
formula interrelating induced ideals. The main result of this paper provides a natural …

In the representation theory of a complex, semisimple Lie algebra g, a fundamental role is
played by the category 6, especially in the study of Verma modules. The category (9 …

Let $\mathfrak {A} $ be a finite-dimensional simple Lie algebra over the complex numbers. It
is shown that a module is complete (or relatively complete) in the sense of Enright if and only …

Studying the representation theory of modules over the enveloping algebra lI (g) of a
semisimple Lie algebra g, one naturally encounters the generalized Verma modules V (p …

The cohomology theory of modular Lie algebras has received considerable attention in the
course of the last decade, partly due to the many obstacles encountered as compared to the …

This article is concerned with various facets of the representation-and cohomology theory of
modular Lie algebras. In continuation of the investigations initiated in [12], we shall be …

Let U (9) be the enveloping algebra of a complex semisimple Lie algebra 9. Many questions
concerning U (9)(for example the ordering [14] in Prim U (9)) can be answered in terms of …

In [9], Bertram Kostant gives a refinement of the classical Weyl Character Formula,
presenting a formula for the u-cohomology of a finite dimensional representation F of a …

This is the first textbook treatment of work leading to the landmark 1979 Kazhdan–Lusztig
Conjecture on characters of simple highest weight modules for a semisimple Lie algebra gg …

M. Neunhöffer studies in 21 a certain basis of C S_ n with the origins in 14 and shows that
this basis is in fact Wedderburn's basis, hence decomposes the right regular representation …