Integral Schur algebras forGL
2 |
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Authors: | Jie Du |
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Institution: | (1) School of Mathematics and Statistics, University of Sydney, 2006 Sydney, NSW, Australia |
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Abstract: | The structure of Schur algebrasS(2,r) over the integral domainZ is intensively studied from the quasi-hereditary algebra point of view. We introduce certain new bases forS(2,r) and show that the Schur algebraS(2,r) modulo any ideal in the defining sequence is still such a Schur algebra of lower degree inr. A Wedderburn-Artin decomposition ofS
K
(2,r) over a fieldK of characteristic 0 is described. Finally, we investigate the extension groups between two Weyl modules and classify the
indecomposable Weyl-filtered modules for the Schur algebrasS
Zp(2,r) withr<p
2
.
Research supported by ARC Large Grant L20.24210 |
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Keywords: | 16S50 20G05 |
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