Combinatorial K-theory

Anders S. Buch

To appear at Formal Power Series and Algebraic Combinatorics (FPSAC01), Tempe, Arizona (USA), May 20-26, 2001


Abstract

We show that the linear span of all stable Grothendieck polynomials is a bialgebra which is a $K$-theoretic generalization of the ring of symmetric functions. We apply this bialgebra to obtain a Littlewood-Richardson rule for the $K$-theory of Grassmann varieties, as well as a formula for the structure sheaf of a quiver variety.


Server START Conference Manager
Update Time 23 Feb 2001 at 08:48:04
Maintainer maylis@labri.u-bordeaux.fr.
Start Conference Manager
Conference Systems