Abstract
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.
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.
| Original language | English |
|---|---|
| Pages (from-to) | 1011-1014 |
| Number of pages | 4 |
| Journal | Mathematical Research Letters |
| Volume | 16 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 2009 |