### Abstract

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

*Mathematical Research Letters*,

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

**On dimensions of block algebras.** / Linckelmann, Markus.

Research output: Contribution to journal › Article

*Mathematical Research Letters*, vol. 16, no. 6, pp. 1011-1014. https://doi.org/10.4310/MRL.2009.v16.n6.a9

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TY - JOUR

T1 - On dimensions of block algebras

AU - Linckelmann, Markus

PY - 2009

Y1 - 2009

N2 - 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.

AB - 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.

U2 - 10.4310/MRL.2009.v16.n6.a9

DO - 10.4310/MRL.2009.v16.n6.a9

M3 - Article

VL - 16

SP - 1011

EP - 1014

JO - Mathematical Research Letters

JF - Mathematical Research Letters

SN - 1073-2780

IS - 6

ER -