Mathematical Research Letters
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On dimensions of block algebrasAuthors: Markus Linckelmann
Author institution: University of Aberdeen
Summary: Following a question by B. K\"ulshammer, we show that an inequality, due to Brauer, involving the dimension of a block algebra, has an analogue for source algebras, and use this to show that a certain case where this inequality is an equality can be characterised in terms of the structure of the source algebra, generalising a similar result on blocks of minimal dimensions.
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