### Abstract

Original language | English |
---|---|

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

*Proceedings of the Edinburgh Mathematical Society*,

*52*(2), 489-514. https://doi.org/10.1017/S0013091507001137

**On graded centers and block cohomology.** / Linckelmann, Markus.

Research output: Contribution to journal › Article

*Proceedings of the Edinburgh Mathematical Society*, vol. 52, no. 2, pp. 489-514. https://doi.org/10.1017/S0013091507001137

}

TY - JOUR

T1 - On graded centers and block cohomology

AU - Linckelmann, Markus

PY - 2009/6

Y1 - 2009/6

N2 - 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).

AB - 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).

U2 - 10.1017/S0013091507001137

DO - 10.1017/S0013091507001137

M3 - Article

VL - 52

SP - 489

EP - 514

JO - Proceedings of the Edinburgh Mathematical Society

JF - Proceedings of the Edinburgh Mathematical Society

SN - 0013-0915

IS - 2

ER -