### 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 |
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Pages (from-to) | 1011-1014 |

Number of pages | 4 |

Journal | Mathematical Research Letters |

Volume | 16 |

Issue number | 6 |

DOIs | |

Publication status | Published - 2009 |

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## Cite this

Linckelmann, M. (2009). On dimensions of block algebras.

*Mathematical Research Letters*,*16*(6), 1011-1014. https://doi.org/10.4310/MRL.2009.v16.n6.a9