870 citations
- City St George's, University of LondonGB152 papers
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35 papers · 1 filter
The principal block of a -spets and Yokonuma type algebras
Radha Kessar, Gunter Malle, Jason Semeraro
We formulate conjectures concerning the dimension of the principal block of a -spets (as defined in our earlier paper), motivated by analogous statements for fini…
2-blocks with an abelian defect group and a freely acting cyclic inertial quotient
Cesare Giulio Ardito, Elliot McKernon
We study blocks with an abelian defect group and a cyclic inertial quotient acting freely but not transitively. We prove that when p=2, such blocks are inertial, i.e. basic Morita…
A -dimensional algebra which is not a block of a finite group
Markus Linckelmann, William Murphy
We rule out a certain -dimensional algebra over an algebraically closed field to be the basic algebra of a block of a finite group, thereby completing the classification of basi…
On the BV structure of the Hochschild cohomology of finite group algebras
Dave Benson, Radha Kessar, Markus Linckelmann
We give a simple algebraic recipe for calculating the components of the BV operator on the Hochschild cohomology of a finite group algebra with respect to the centraliser decom…
The Center of the Partition Algebra
Samuel Creedon
In this paper we show that the center of the partition algebra , in the semisimple case, is given by the subalgebra of supersymmetric polynomials in the normal…
Morita equivalence classes of blocks with elementary abelian defect groups of order 32
Cesare Giulio Ardito
We describe a general technique to classify blocks of finite groups, and we apply it to determine Morita equivalence classes of blocks with elementary abelian defect groups of orde…