<span class="mathjax-formula">$C^{-\infty }$</span>-Whittaker vectors corresponding to a principal nilpotent orbit of a real reductive linear Lie group, and wave front sets

The bouquet bch(E , A ) will be called the bouquet of Chern characters of the bundle E with connection A (in fact, we will have to modify the notion of G-equivariant vector bundle

We shall return in the next section to the problem of constructing a matched pair on the topological vector spaces Lie algebra structure on. gl and a Lie

this limitation lies in the possibility to define the space of these polynomials (the so-called Weyl algebra) purely algebraically and, consequently, to formulate

In this later case, we derive the general expression of the SO(p, n - p) generators and deduce in Section III the most degenerate series of representations.. In Section

Suppose that G is the group of k-rational points of a reductive connected linear algebraic group defined over k.. Let g denote the Lie algebra

However, if we consider Harish-Chandra modules with integral infinitesimal character for complex semisimple Lie groups, we get.. 4'' SERIE - TOME 23 - 1990 -

Erratum : “C −∞ -Whittaker vectors for complex semisimple Lie groups, wave front sets, and Goldie rank polynomial representations”.. Annales scientifiques

Let f rs ∈ F p [g] ∩ k[g] G be the polynomial function from Section 1.4 with nonzero locus the set of regular semisim- ple elements in g, and let f e rs be the corresponding