Contents Online
Mathematical Research Letters
Volume 16 (2009)
Number 6
On dimensions of block algebras
Pages: 1011 – 1014
DOI: https://dx.doi.org/10.4310/MRL.2009.v16.n6.a9
Author
Abstract
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.
Published 1 January 2009