Séminaire Lotharingien de Combinatoire, B52d (2005), 39 pp.
Architectonique des formules
préférées d'Alain Lascoux
This article, written in December 2004, is an expanded version
of the author's lecture opening the LascouxFest at the
Séminaire Lotharingien de Combinatoire in Domaine
Saint-Jacques, Ottrott, March 29-31, 2004.
We discuss here some aspects of the work of Alain Lascoux
(and some of his coworkers), related to symmetric functions
and, more generally, Schubert polynomials. We illustrate some
of the techniques he uses: determinants, transformations of
alphabets, reproducing kernels, planar displays, divided
differences, and vertex operators.
The aim of this article is to show to the reader working in
Algebraic Combinatorics (and others!) what we can learn from
Alain to make our computations more efficient and more exciting.
Received: December 29, 2004.
Accepted: January 12, 2005.
Final Version: January 16, 2005.
The following versions are available: