2004/02/16 by Cristian Lenart, Lenart, Cristian · 1 citation
Mathematics · #05E99 #14M15 #19L64 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.math/0402271
openalex publication_date 2004/02/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We propose a new approach to the multiplication of Schubert classes in the\nK-theory of the flag variety. This extends the work of Fomin and Kirillov in\nthe cohomology case, and is based on the quadratic algebra defined by them.\nMore precisely, we define K-theoretic versions of the Dunkl elements considered\nby Fomin and Kirillov, show that they commute, and use them to describe the\nstructure constants of the K-theory of the flag variety with respect to its\nbasis of Schubert classes.\n