Noncommutative Schubert calculus and Grothendieck polynomials

DOI10.1006/aima.1998.1795zbMath0978.05074OpenAlexW2023483988MaRDI QIDQ1288258

Cristian Lenart

Publication date: 20 June 1999

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.1998.1795

zbMATH Keywords

Schur functionsSchubert polynomialsGrothendieck polynomialconjecture of Fomin and Kirillov

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Grassmannians, Schubert varieties, flag manifolds (14M15)

Related Items

Notes on Schubert, Grothendieck and key polynomials, Representations of Algebras, Tower diagrams and Pieri's rule, Poset edge densities, nearly reduced words, and barely set-valued tableaux, Grothendieck classes of quiver varieties., A Littlewood-Richardson rule for the \(K\)-theory of Grassmannians.

Cites Work

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• Noncommutative Schubert polynomials
• T-equivariant K-theory of generalized flag varieties
• Some combinatorial properties of Schubert polynomials
• Schubert polynomials and the nilCoxeter algebra
• Noncommutative Schur functions and their applications
• Balanced tableaux
• Skew Schubert functions and the Pieri formula for flag manifolds
• RC-Graphs and Schubert Polynomials