Monk rules for type \(\mathrm{GL}_n\) Macdonald polynomials

DOI10.1016/J.JALGEBRA.2023.07.042zbMATH Open1542.05176MaRDI QIDQ6565658

Arun Ram, Tom Halverson

Publication date: 2 July 2024

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

Schubert calculusMacdonald polynomials

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52) Classical problems, Schubert calculus (14N15)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Further Pieri-type formulas for the nonsymmetric Macdonald polynomial
• Symmetric and non-symmetric quantum Capelli polynomials
• Nonsymmetric Macdonald polynomials and Demazure characters.
• A Littlewood-Richardson rule for Macdonald polynomials
• A Demazure character formula for the product monomial crystal
• Affine Demazure crystals for specialized nonsymmetric Macdonald polynomials
• Comparing formulas for type \(GL_n\) Macdonald polynomials
• Nonsymmetric Macdonald polynomials and matrix coefficients for unramified principal series
• Pieri-Type Formulas for Nonsymmetric Macdonald Polynomials
• A Pieri-type formula for the ${K}$-theory of a flag manifold
• Positive Level, Negative Level and Level Zero
• Monk's rule for Demazure characters of the general linear group
• \(c\)-functions and Macdonald polynomials

Related Items (1)

Type A partially-symmetric Macdonald polynomials

This page was built for publication: Monk rules for type \(\mathrm{GL}_n\) Macdonald polynomials

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6565658)