A geometric proof of an equivariant Pieri rule for flag manifolds-Reference-Cited by-同舟云学术

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A geometric proof of an equivariant Pieri rule for flag manifolds

Published:2019-05-01 Issue:3 Volume:31 Page:779-783
ISSN:0933-7741
Container-title:Forum Mathematicum
language:
Short-container-title:

Author:

Li Changzheng,Ravikumar Vijay,Sottile Frank^ORCID,Yang Mingzhi

Abstract

Abstract We use geometry to give a short proof of an equivariant Pieri rule in the classical flag manifold. This rule is due to Robinson, who gave an algebraic proof.

Funder

National Natural Science Foundation of China

Division of Mathematical Sciences

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/forum-2018-0213/pdf

Reference22 articles.

1. Puzzles and (equivariant) cohomology of Grassmannians;Duke Math. J.,2003

2. Positivity in equivariant Schubert calculus;Duke Math. J.,2001

3. A Pieri formula in the Grothendieck ring of a flag bundle;Duke Math. J.,1994

4. Equivariant Pieri rules for isotropic Grassmannians;Math. Ann.,2016

5. A Pieri-type formula for HT*⁢(S⁢Ln⁢(ℂ)/B){{H}^{*}_{T}({SL}_{n}(\mathbb{C})/{B})};J. Algebra,2002

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1. An Equivariant Quantum Pieri Rule for the Grassmannian on Cylindric Shapes;The Electronic Journal of Combinatorics;2022-04-01

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