Mathematical Research Letters
Volume 16 (2009)
On dimensions of block algebras
Pages: 1011 – 1014
Following a question by B. Külshammer, 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.