2002/05/29 by Augustin-Liviu Mare, Mare, Augustin-Liviu
Mathematics · #05E15 #22E46 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT) #math.CO #math.RT #msc:05E15 #msc:22E46
paper · pdf · doi:10.48550/arxiv.math/0205309
Revised version of "Quantization map for G/B"
openalex publication_date 2002/05/29 · arxiv created 2002/08/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show how the quantum Chevalley formula for G/B, as stated by Peterson and proved rigorously by Fulton and Woodward, combined with ideas of Fomin, S. Gelfand and Postnikov, leads to a formula which describes polynomial representatives of the Schubert cohomology classes in the canonical presentation of QH^*(G/B) in terms of generators and relations.