Large-dimensional homomorphism spaces between Weyl modules and Specht modules

Sinéad Lyle

doi:10.1016/j.jpaa.2012.04.004

Large-dimensional homomorphism spaces between Weyl modules and Specht modules

Sinéad Lyle

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We give a family of pairs of Weyl modules for the q-Schur algebras for which the corresponding homomorphism space is at least 2-dimensional. Using this result we show that for any field F and any quantum characteristic, there exist arbitrarily large homomorphism spaces between pairs of Weyl modules.

Original language	English
Pages (from-to)	87-96
Number of pages	10
Journal	Journal of Pure and Applied Algebra
Volume	217
Issue number	1
Early online date	23 May 2012
DOIs	https://doi.org/10.1016/j.jpaa.2012.04.004
Publication status	Published - Jan 2013

Access to Document

10.1016/j.jpaa.2012.04.004Licence: Other

Cite this

@article{a366f14bbe4d41e3a4157970426445b4,

title = "Large-dimensional homomorphism spaces between Weyl modules and Specht modules",

abstract = "We give a family of pairs of Weyl modules for the q-Schur algebras for which the corresponding homomorphism space is at least 2-dimensional. Using this result we show that for any field F and any quantum characteristic, there exist arbitrarily large homomorphism spaces between pairs of Weyl modules.",

author = "Sin{\'e}ad Lyle",

year = "2013",

month = jan,

doi = "10.1016/j.jpaa.2012.04.004",

language = "English",

volume = "217",

pages = "87--96",

journal = "Journal of Pure and Applied Algebra",

issn = "0022-4049",

publisher = "Elsevier",

number = "1",

}

TY - JOUR

T1 - Large-dimensional homomorphism spaces between Weyl modules and Specht modules

AU - Lyle, Sinéad

PY - 2013/1

Y1 - 2013/1

N2 - We give a family of pairs of Weyl modules for the q-Schur algebras for which the corresponding homomorphism space is at least 2-dimensional. Using this result we show that for any field F and any quantum characteristic, there exist arbitrarily large homomorphism spaces between pairs of Weyl modules.

AB - We give a family of pairs of Weyl modules for the q-Schur algebras for which the corresponding homomorphism space is at least 2-dimensional. Using this result we show that for any field F and any quantum characteristic, there exist arbitrarily large homomorphism spaces between pairs of Weyl modules.

U2 - 10.1016/j.jpaa.2012.04.004

DO - 10.1016/j.jpaa.2012.04.004

M3 - Article

VL - 217

SP - 87

EP - 96

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

SN - 0022-4049

IS - 1

ER -