Séminaire Lotharingien de Combinatoire, B50i (2004), 32 pp.
Alain Lascoux
SCHUBERT & GROTHENDIECK: Un bilan bidécennal
English Abstract.
We give a dozen formulas concerning Schubert and Grothendieck polynomials,
and their interrelations, half of them being new, and most of them interesting.
In particular, we describe explicitly the decomposition of Schubert polynomials
as positive sums of Grothendieck polynomials, and we show that non-commutative
Schubert polynomials are obtained by reading the columns of a two-dimensional
Cauchy kernel. A six pages summary in English has been added.
Received: June 1, 2004.
Accepted: November 10, 2004.
Final Version: December 21, 2004.
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