Some q-analogues of the Carter-Payne theorem

Lyle, Sinead ORCID: https://orcid.org/0000-0002-6032-7721 (2007) Some q-analogues of the Carter-Payne theorem. Journal für die reine und angewandte Mathematik (Crelles Journal), 2007 (608). pp. 93-121. ISSN 0075-4102

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Abstract

We prove a q-analogue of the Carter-Payne theorem for the two special cases corresponding to moving an arbitrary number of nodes between adjacent rows, or moving one node between an arbitrary number of rows. As a consequence, we show that these homomorphism spaces are one dimensional when q ? -1. We apply these results to complete the classification of the reducible Specht modules for the Hecke algebras of the symmetric groups when q ? -1. Our methods can also be used to determine certain other pairs of Specht modules between which there is a homomorphism. In particular, we describe the homomorphism space for an arbitrary partition µ.

Item Type:	Article
Faculty \ School:	Faculty of Science > School of Mathematics (former - to 2024)
UEA Research Groups:	Faculty of Science > Research Groups > Algebra and Combinatorics (former - to 2024) Faculty of Science > Research Groups > Algebra, Logic & Number Theory
Depositing User:	Vishal Gautam
Date Deposited:	18 Mar 2011 14:52
Last Modified:	07 Nov 2024 12:34
URI:	https://ueaeprints.uea.ac.uk/id/eprint/20724
DOI:	10.1515/CRELLE.2007.054

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