A Gysin formula for Hall-Littlewood polynomials
Piotr Pragacz
TL;DR
This paper presents a new Gysin formula for Hall-Littlewood polynomials in Grassmann bundles, extending existing formulas for Schur S- and Q-functions to a broader class of symmetric functions.
Contribution
It introduces a generalized Gysin formula for Hall-Littlewood polynomials, expanding the toolkit for algebraic geometry and symmetric function theory.
Findings
Derived a formula for pushing forward Hall-Littlewood classes
Extended Gysin formulas to a wider class of symmetric functions
Bridged gaps between Schur functions and Hall-Littlewood polynomials
Abstract
We give a formula for pushing forward the classes of Hall-Littlewood polynomials in Grassmann bundles, generalizing Gysin formulas for Schur S- and Q-functions.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Advanced Combinatorial Mathematics · Algebraic structures and combinatorial models