### Abstract

We extend the group theoretic notions of transfer and stable elements to graded centres of triangulated categories. When applied to the centre Z*(Db(B)) of the derived bounded category of a block algebra B we show that the block cohomology H*(B) is isomorphic to a quotient of a certain subalgebra of stable elements of Z*(Db(B)) by some nilpotent ideal, and that a quotient of Z*(Db(B)) by some nilpotent ideal is Noetherian over H*(B).

Original language | English |
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Pages (from-to) | 489-514 |

Number of pages | 26 |

Journal | Proceedings of the Edinburgh Mathematical Society |

Volume | 52 |

Issue number | 2 |

Early online date | 28 May 2009 |

DOIs | |

Publication status | Published - Jun 2009 |

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## Cite this

Linckelmann, M. (2009). On graded centers and block cohomology.

*Proceedings of the Edinburgh Mathematical Society*,*52*(2), 489-514. https://doi.org/10.1017/S0013091507001137