Skew Weyl modules for \(\text{GL}_n\) and degree reduction for Schur algebras
type: Item
instance of: scholarly article
title: Skew Weyl modules for \(\text{GL}_n\) and degree reduction for Schur algebras
zbMATH Open document ID: 0958.20006
author: Upendra Kulkarni
published in: Journal of Algebra
publication date: 2000-11-20T00:00:00Z
review text: The author proves a characteristic-free analogue of the classical adjoint formula \(\langle s_\lambda,s_\mu f\rangle=\langle s_{\lambda/\mu},f\rangle\) in the ring of symmetric functions. This is done by showing that the representative of a suitably chosen functor involving a tensor product is a skew Weyl module. It is shown (Theorem 2) that this representative preserves Hom groups and higher Ext groups.
reviewed by: Ahmed A. Khammash
Mathematics Subject Classification ID: 20C08
Mathematics Subject Classification ID: 20G05
Mathematics Subject Classification ID: 05E05
zbMATH DE Number: 1428241
zbMATH Keywords: rings of symmetric functions
zbMATH Keywords: functors
zbMATH Keywords: tensor products
zbMATH Keywords: skew Weyl modules
zbMATH Keywords: Hom groups
zbMATH Keywords: higher Ext groups
MaRDI profile type: Publication
full work available at URL: jabr.1999.8042
OpenAlex ID: W1964949219
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DOI: 10.1006/JABR.1999.8042
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description: scientific article; zbMATH DE number 1428241