The m/n Pieri rule

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 13 May 2015Embargo end date: 01 Jan 2014 English Publisher:Oxford University Press (OUP)Journal:International Mathematics Research Notices, volume 2,016, pages 219-257 (issn: 1073-7928, eissn: 1687-0247,

Copyright policy )

Authors: Neguţ, Andrei;

doi: 10.1093/imrn/rnv110 , 10.48550/arxiv.1407.5303

arXiv: 1407.5303

The m/n Pieri rule

- Summary
- Subjects
- Metrics

Abstract

The Pieri rule is an important theorem which explains how the operators e_k of multiplication by elementary symmetric functions act in the basis of Schur functions s_lambda. In this paper, for any rational number m/n, we study the relationship between the rational version e_k^{m/n} of the operators (given by the elliptic Hall algebra) and the "rational" version s_lambda^{m/n} of the basis (given by the Maulik-Okounkov stable basis construction)

Related Organizations

King’s University
United States
Columbia University
United States

Keywords

Mathematics - Quantum Algebra, FOS: Mathematics, Mathematics - Combinatorics, Quantum Algebra (math.QA), Combinatorics (math.CO)

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	3
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average