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Tate duality and transfer in Hochschild cohomology
Markus Linckelmann
We show that dualising transfer maps in Hochschild cohomology of symmetric algebras commutes with Tate duality. This extends a well-known result in group cohomology.
Bounds for Hochschild cohomology of block algebras
Radha Kessar, Markus Linckelmann
We show that for any block algebra B of a finite group over an algebraically closed field of prime characteristic the dimension of HH^n(B) is bounded by a function depending only o…
Conjectures of Alperin and Broue for 2-blocks with elementary abelian defect groups of order 8
Radha Kessar, Shigeo Koshitani, Markus Linckelmann
Using the classification of finite simple groups we prove Alperin's weight conjecture and the character theoretic version of Broue's abelian defect group conjecture for 2-blocks of…
On the graded center of the stable category of a finite -group
Markus Linckelmann, Radu Stancu
We show that for any finite -group of rank at least 2 and any algebraically closed field of characteristic the graded center $Z^*(\modbar(kP))$ of the stable module…
Blocks with quaternion defect group over a 2-adic ring: the case \tilde{A}_4
Thorsten Holm, Radha Kessar, Markus Linckelmann
Except for blocks with a cyclic or Klein four defect group, it is not known in general whether the Morita equivalence class of a block algebra over a field of prime characteristic…