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

Algebra, Number Theory, Logic, and Representations (ANTLR)

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

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10.1016/j.jpaa.2012.04.004Licence: Other

Cite this

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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.",

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