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Generalizations of the flag variety tied to the Macdonald-theoretic delta operators

Brendon Rhoades

Abstract

This is a chapter for the upcoming book "Handbook of Combinatorial Algebraic Geometry". Comments are welcome! We cover symmetric function identities tied to delta operators, as well as representation-theoretic and geometric avatars of these identities.

Generalizations of the flag variety tied to the Macdonald-theoretic delta operators

Abstract

This is a chapter for the upcoming book "Handbook of Combinatorial Algebraic Geometry". Comments are welcome! We cover symmetric function identities tied to delta operators, as well as representation-theoretic and geometric avatars of these identities.
Paper Structure (4 sections, 5 equations)

This paper contains 4 sections, 5 equations.

Table of Contents

  1. A note to the geometrically inclined reader
  2. A word on coefficients
  3. Symmetric functions and delta operators
  4. Symmetric functions and $S_n$-modules