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math.RT2010
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…
math.RT2010
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…